The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?

Answers

Answer 1

Answer:

Radius of the sphere = r

Volume of sphere:

V₁ = 4/3×πr³

Radius of the hemisphere = 2r

Volume of the hemisphere:

V₂ = 1/2×4/3×π(2r)³ = 1/2×8×4/3πr³ = 4V₁

The volume of the hemisphere is 4 times greater than the volume of the sphere


Related Questions





12 + 3y = 21
Expression or Equation:

Answers

It is an equation because it has an equal sign. Whereas an expression does not have an equal sign.

Answer:

equation

Step-by-step explanation:

12 + 3y = 21

-12. -12

__________

3y = 9

y = 3

solve the system by substitution 3x-y=10 2x=y

Answers

Answer

X=10 and y=20

Step-by-step explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

X=10, Y=20
steps
1) substitute 2x into the equation for Y
2) combine like terms ( 3x and -2x which equals 1x or x)
3) solve for x’s value (10)
4) plug in x’s value to solve for y
5) plug values into original equation to check work


A bag contains 9 blue marbles and 36 green marbles. If a representative sample contains 3 blue
marbles, then how many green marbles would you expect it to contain? Explain.

Answers

Answer:

It is 12 green marbles

Step-by-step explanation:

[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]

I hope that is useful for you :)

Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks

HOW MANY WEEKS ???

Answers

Answer:

3 unless you're adding onto the 12 kilograms, then only 1

Step-by-step explanation:

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Answers

Answer:

17/55 if simplified otherwise 34/110

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

this is the answer that came up on hegarty

please help me!! 8th grade math, Pythagorean Theorem

Answers

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

What is the mood i need help​

Answers

Answer:

5.

Step-by-step explanation:

The mode is the number that occurs the most in a data set.

Here, the number 5 appears the most.

Answer:

The answer is 5

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Hope this helps! Have a nice day!

7428.358146 round to nearest cent

Answers

Answer:

7428.40

Step-by-step explanation:

Uehehejjdjdjejjejejjdjdjejejejejejjejejejeejjd

Answers

Answer:

kgkbfkbfbk3grrkmfbhrfikrk

Answer:

thank you for the free point i guess

Step-by-step explanation:

can u mark me brainlest plz

gjnrijnrtibfnsibneifn

Which choices are equivalent to the exponential expression below? Check all that apply (5/3)^3

Answers

Answer:

D is the answer

Step-by-step explanation:

Helpppp I need this for rn thank youuuuu❤️

Answers

Answer:

-1,7

0,-3

1,-7

5,47

Step-by-step explanation:

-x-=+

7
-3
-13
-53

This should be right

It's for my sister she wants me to do it HELP HER

Answers

Answer:

I think its the second one

Step-by-step explanation:

Sorry if im wrong

Find the CIRCUMFERENCE of a circle with the DIAMETER of 11 ft.
HELP PLS

Answers

Answer:

half of 11 is: 5.5

5.5 x 3.14 x 2 = 34.54

Whats the slope using rise/run?

Answers

Answer:

-4,1

Step-by-step explanation:

Y is at -1,1

X is at -5,0

subracting we get -4,1

since it’s rise over run

-4,1

so -4

What is the value of 4^3

Answers

Answer:

the answer is 64

Step-by-step explanation:

becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.

Answer:

64

Step-by-step explanation:

4³ = 4 · 4 · 4 = 64

Can someone please help me answer this question asap thank you . No links please and thank you .

Answers

It’s a 10 to 1 relationship

What is the probability that someone in your class wants the New England Patriots to win

Answers

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

Please help me with this

Answers

1 2/4 one and a half

What did the inventor of the 10-ton truck so often say?

Answers

Answer:

He often said "Diesel Be Good"

Step-by-step explanation:

Can someone help me with these questions?

Answers

1) 11 books per box with one in the envelope.
2) 44 books are on one shelf. There is 1 book left over.
3) day 9
4) 8 books.

Solve: 16х2 - 81 = 0. (2 points)
Ox = 4, 9
Ox= -4, -9
ООО
9
х=
О
х
81
16
16

HELP PLEASEEE

Answers

C I think I’m sorry if it’s wrong

Answer:

x=9/4,x=-9/4

Step-by-step explanation:

16x^2−81=0

Step 1: Add 81 to both sides.

16x^2−81+81=0+81

16x^2=81

Step 2: Divide both sides by 16.

16x^2/16 = 81/16

x^2 = 81/16

Step 3: Take square root.

x = ±√81/16

x=2.25,x=−2.25

Convert to fraction form.

x=9/4,x=-9/4

The temperature outside changed from 79°F to 44°F over a period of five days. If the temperature changeu
amount each day, what was the daily temperature change?
OA. 35°F
OB. -7°F
ОС.
-35°F
OD. 7°F

Answers

Answer:

B: -7°F

Step-by-step explanation:

79-44=35

Because its over a period of five days we would divide

35÷5=7

Since the numbers are going down its negative

-7

Answer:-7

Step-by-step explanation:

What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
y= -2/3x - 2
v= 2/3x - 2

Answers

Answer:

A. 2x + 3y = -6

Step-by-step explanation:

[tex](-3,0) (0,-2)[/tex]

[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]

[tex]y-0=\frac{-2}{3} (x+3)[/tex]

[tex]3y=-2x-6[/tex]

[tex]3y+2x+6=0[/tex]

[tex]2x+3y=-6[/tex]

-------------------

hope it helps...

have a great day!!

Please help me out with this I don’t understand it

Answers

Answer:

x = 7.55

Step-by-step explanation:

a = x

b = 8

c = 11

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121 - 64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.5498

Rounded to hundredths:

7.55

En una carrera participaron 7000 personas entre hombres y mujeres y 5000 personas entre mujeres y niños. Si han corrido 3000 mujeres ¿cuantas mujeres participaron en total?

Answers

Answer:

9000 personas en total participaron de la carrera.

Step-by-step explanation:

En este caso, planteo las siguientes variables:

x: cantidad de hombres que participaron de la carrera.y: cantidad de niños que participaron de la carrera.

En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:

3000 + x= 7000

Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:

x= 7000 - 3000

x= 4000

En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:

3000 + y= 5000

Resolviendo se obtiene que participaron la siguiente cantidad de niños:

y= 5000 - 3000

y= 2000

Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:

4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes

9000 personas en total participaron de la carrera.

i need help on this pleaseee

Answers

Answer:

QUESTION:

I need help on this pleaseee...

ANSWER:

2 pairs of pants = $18

4 pairs of pants = $36

6 pairs of pants = $54

1 pair of pants = $6

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Answer:

2 pairs are 18

4 pairs are 36

6 pairs are 48

1 pair is 6

Step-by-step explanation:

Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = z6.5 =

Answers

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

What is Z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

What is the slope formula?
How do you find slope?

Answers

Answer:

https://www.gstatic.com/education/formulas2/355397047/en/slope_of_a_line.svg

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

cmon bro is not that hard

Step-by-step explanation:

help me pls!! giving brainliest and 5 stars

Answers

Answer:

A reflection over the line y = x followed by a translation up 3 units

Step-by-step explanation:

Since this is a multiple choice question, let's test each answer out.

First scenario:

"A reflection over the y-axis followed by a translation right 3 units and down 4 units"

Reflect segment XY over the y-axis, we get segment XY between x = 2 and x = 6, on y = 5 line.Translate right 3 units, we get segment XY on y = 5 line, between x = 5 and x = 9.Translate down 4 units, we get segment XY on y = 1 line, between x = 5 and x = 9.

Resulting segment does not match segment X'Y', this answer is incorrect

Second scenario:

"A reflection over the line y = x followed by a translation up 3 units"

Reflect segment XY over y = x line, we get segment XY, between y = -2 and y = -6, on x = 5 line.Translate up 3 units, we get segment XY on x = 5 line, between y = 1 and y = -3.

Resulting segment matches segment X'Y', this is the correct answer.

Emily bought 36 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought
Inches of fabric.

Answers

Answer:

36 yards = 1,296 inches.

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