A cylindrical bucket and spherical storage container are shown. The bucket has a radius of 6 inches and a height of 15 inches, and the storage container has a diameter of 24 inches. Nicholas says he can fill the entire storage container with seef by filling the bucket four times and pouring the contents into the container. Is Nicholas correct? Explain why or why not.

Answers

Answer 1

Answer:

since the ratio of both volumes is approximately 4, then we can say Nicholas is correct

Step-by-step explanation:

Firstly, what we need to do is to calculate the volume of both.

For the cylindrical bucket, the volume can be calculated as

pi * r^2 * h

where r is 6 inches and h is 15 inches

The volume is thus

pi * 6^2 * 15 = 540pi inches*3

For the spherical storage, the volume can be calculated using the formula

V = 4/3 * pi * r^3

with r = d/2 = 24/2 = 12 inches

The volume is thus;

V = 4/3 * pi * 12^3 = 2,304 pi inches^3

Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.

Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times


Related Questions

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?

Answers

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]

Therefore:

Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]

[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]

Answer: length of pencil is 9.8 inches.

Step-by-step explanation:

The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is

d = √(l² + w² + h²)

Where

d = diagonal = length of pencil

w = width = 4 inches

h = height = 4 inches

l = length = 8 inches

Therefore,

d = √(4² + 4² + 8²) = √96

d = 9.8 inches

help plz! (a + b - c)(a + b + c) multiplying polynomials

Answers

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

Lilly saw a jellyfish at 6 feet below sea level.She saw a bright blue fish at 10 feet below sea level. What is the distance between the blue fish and the jellyfish

Answers

Answer:

Step-by-step explanation:

4 feet

Answer:

It would be 4 feet because 6-10 is 4 its really easy

Step-by-step explanation:

I hope i helped?

Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25

Answers

F(-2) when F(x)=5^x is 1/25

j divided by 9 is 5 , write an equation to represent the following statement

Answers

Answer:

The first answer is incorrect

Step-by-step explanation:

45 divided by 9 is 5 not 40

The equation that represents the statement is j / 9 = 5.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The statement j divided by 9 is 5 can be written in equation form as follows:

j / 9 = 5

j = 45

To know more about Equation

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A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?

Answers

Answer:

A farmer has 180 eggs.

He stores them in trays.

Each tray holds 30 eggs.

Then he would need 180/30 = 6 trays.

Hope this helps!

:)

25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5

Answers

Answer:

no solutions

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

Subtract 13 from each side

(X-2)^2/3 + 13-13 = 5-13

(x-2) ^2/3 = -8

Raise each to the 3/2 power

(x-2) ^2/3  ^3/2= -8^3/2

(x-2) = (-512) ^1/2

We cannot take the square root of a negative number and remain in the real number system

There are no solutions

Answer:

No real solutions

Imaginary/complex solutions:

x = 2 +/- 16sqrt(2)i

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

(X-2)^2/3 = -8

(X - 2)² = (-8)³

X - 2 = +/- sqrt(-512)

No real solution

x = 2 +/- 16sqrt(2)i

(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5

[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5

(-512)^⅓ + 13 = 5

-8 + 13 = 5

5 = 5

What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m

Answers

Answer:

174 m/s

Step-by-step explanation:

Formula: velocity = frequency x wavelength

V = 2 x 87

V = 174

Hope that helps!

Answer:

174

Step-by-step explanation:

Did the test

Find the slope between:
(4, -1)
(-2,4)

Answers

Answer:

-5

----

6

Step-by-step explanation:

y2-y1

-------

x2-x1

-1-4 -5

------ = ---

4--2 6

~Anna

Answer as soon as you see this. I need lots of help

Answers

Answer:

GFD = 132.7

Step-by-step explanation:

JIF and GFD are same side interior angles  and when the lines are parallel, same side interior angles are equal

JIF = 132.7  so GFD = 132.7

In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.

So if JIF = 132.7°, then GFD also measures 132.7°.

i need help with this questions can someone please help me

Answers

Answer:

pupil question:

3 6 1

3 have brothers

6 have both

1 has sisters

Step-by-step explanation:

3+6+1+2=12

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.

Answers

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

What is a box plot?

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8


The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

Learn more about box plots here:

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what's 4.54 rounded to the nearest tenth?​

Answers

Answer:

4.5

Step-by-step explanation:

have a nice day :)

Answer:

4.5

Step-by-step explanation:

when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.

Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?

A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above

Answers

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

find angle C! please and thankyou

Answers

Answer: it's around 40

Step-by-step explanation:

To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet

Answers

General Formulas and ConceptsAlgebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry

Circumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]

where d is the diameter and r is the radius.

ApplicationStep 1: Define

Let's organize what is given to us in the problem.

We are given that we are riding a Ferris wheel and have traveled 157 feet.

Step 2: Solve

Let's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:

[Circumference Formula] Substitute in known variables (take π ≈ 3.14):
[tex]\displaystyle\begin{aligned}157 & = 2(3.14) r\end{aligned}[/tex]Divide both sides by 2(3.14) [Division Property of Equality]:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\\end{aligned}[/tex]Rewrite the result:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\\end{aligned}[/tex]Simplify:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\r & = \boxed{ 25 }\end{aligned}[/tex]

∴ the radius of the Ferris wheel is equal to 25 feet.

Answer

*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274

The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.

___

Learn more about circles: https://brainly.com/question/15306477

Learn more about Geometry: https://brainly.com/question/23669892

___

Topic: Geometry

Unit: Circles

Answer:

50 feet

Step-by-step explanation:

trust

Stir-fry is Vince's favorite food to cook, but it always makes a lot of smoke! Vince needs to know the volume of his kitchen so he can buy a fan that is the right size. Vince's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Vince's kitchen?

Answers

Answer:

The volume of Vince’s Kitchen is 680 cubic feet

Step-by-step explanation:

To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen

Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen

From the question, the area of the kitchen floor = 85 square feet

Height of kitchen = 8 feet

Plugging these values to get the area of the Kitchen, we have;

V = 8 * 85 = 680 cubic feet

Find the slope of the line passing through the poin (- 3, 7) (2, - 6)

Answers

Answer:

[tex] \frac{13}{ - 5} [/tex]

Step-by-step explanation:

[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]

Answer:

-2.6

Step-by-step explanation:

Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.

It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.

Given:

Coordinates (- 3, 7) (2, - 6)

y1 = 7, y2= -6, x1= -3, x2=2

Slope : ∆ y/ ∆ x

= (y2 - y1 )/ (x2 - x1)

= (-6 - (7))/ (2 - (-3))

= (-13)/(5) = -13:5= -2.6

A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror

Answers

Answer:

A)x + 4 + x = 20

Step-by-step explanation:

Complete question:

Which equation helps determine the distance x on each side of the mirror?

A. x + 4 + x = 20

B. 4 + x + 4 = 20

C. x = 20 + 4 + 4

D. 4 = 20 + x + x

SOLUTION:

As given,The mirror is 4 feet wide and the wall is 20 feet wide.

The distance 'x' on each side of the mirror is x + x

4 feet wide + x + x = 20 feet wide

The mirror 4 feet wide + the distance x on each side of the mirror = the wall is 20 feet wide

Therefore, the correct option is A

Habib is making some scones.
His recipe tells him to bake the scones at 356°F for 30 minutes.
The temperature gauge on Habib's oven shows the temperature in
degrees Celsius, "C.
The formula to convert °F (Fahrenheit) into °C is:
C = 5F - 160
At what temperature, in °C, should Habib bake his scones?​

Answers

Answer:

1620°C

Step-by-step explanation:

Using the equation

C = 5F - 160, at 356°F we'll have

C = 5(356) - 160

C = 1780 - 160

C = 1620°C

Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1

Answers

Answer: My bad I don’t know how to teach it but it’s B

2. 2x - y = 6,
- x + y = -1

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

A salad recipe calls for 1 cups of chopped tomatoes. The recipe calls for 4 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?

Answers

Answer:

You need 4 cups.

Step-by-step explanation:

If you have 1 cup of tomatoes, and you need 4 times the amount of lettuce, you multiply 1 times 4. Giving you 4 cups of lettuce.

HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.

The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.

CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as

Answers

Answer:

more than

Step-by-step explanation:

Answer: (A ) greater than

Step-by-step explanation:

The answer is greater than the number Of points Luther scores in each game

All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.

What is the area of the triangle (I need this today pls help)

Answers

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?

Answers

Answer:

ethanol

Step-by-step explanation:

The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.

The enthalpy of combustion of the unknown compound is

ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol

To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,

e% =  ( | ΔHx - ΔH | / ΔHx ) x 100%

where ΔHx is the enthalpy of combustion of the probable compound.

The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol

Compound Enthalpy of combustion (kJ/mol)   Deviation

Methane                        - 890.7                                 43.8%

Ehylene                         -1411.2                                   9.3%

Ethanol                        -1368.6                                    6.5%

According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.

Read more on Brainly.com - https://brainly.com/question/12081414#readmore

Answer: ethanol

Step-by-step explanation:

Got it right on edge

Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.

Answers

Answer:

3.3 cm

Step-by-step explanation:

Volume of a rectangular prism =Length X Width X Height

Volume of the cake batter [tex]=1848cm^3[/tex]

The cake pan is a right rectangular prism 20cm wide by 28cm long.

Therefore:

1848=20 X 28 X Depth

1848=560 X Depth

Depth=1848/560

Depth of the batter=3.3 cm

The batter is 3.3cm deep in the pan.

Which of the pairs of angles are vertical angles and
thus congruent?

Answers

Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.

Step-by-step explanation:

Answer:

A+G

Step-by-step explanation:

:D

What is the lcm of 3,8

Answers

Answer: 24

Step-by-step explanation: The LCM of 3 and 8 is 24.

3 6 9 12 15 `18 21 24

8 16 24

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