What is the volume of a cylinder in cubic feet with a height of 8 feet and a base diameter of 18 feet

Answers

Answer 1

Answer:

The volume of a cylinder:

[tex]V \approx 2035.75[/tex] [tex]ft^3[/tex]

Step-by-step explanation:

-To find the volume of a cylinder, you first need the formula:

[tex]V = \pi (\frac{d}{2})^2 h[/tex]

[tex]d =[/tex] diameter

[tex]h =[/tex] height

-Use the following diameter and height for the formula:

[tex]V = \pi (\frac{18}{2})^2 8[/tex]

-Then, you solve:

[tex]V = \pi (\frac{18}{2})^2 8[/tex]

[tex]V = \pi \times (\frac{18}{2})^2 \times 8[/tex]

[tex]V = \pi \times (9)^2 \times 8[/tex]

[tex]V = \pi \times 81 \times 8[/tex]

[tex]V = \pi \times 648[/tex]

[tex]V = 648\pi \approx 2035.752[/tex]

-Since the hundredth place is 2, It cannot be rounded to the nearest hundredths place, so it would be:

[tex]V \approx 2035.75[/tex] [tex]ft^3[/tex]


Related Questions

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?

Answers

Answer:

The intensity in decibel is 320 decibel

Step-by-step explanation:

Given the intensity, or loudness, of a sound  measured in decibels (dB), according to the equation [tex]I (dB)= 10log(\frac{I}{Io} )[/tex] where;

I is the intensity of a given sound and

[tex]Io[/tex] is the threshold of hearing intensity

To get I(dB) when [tex]I=10^{32} Io[/tex]

We will substitute the value of I = [tex]I=10^{32} Io[/tex] into the equation above to have;

[tex]I (dB)= 10log(\frac{10^{32}Io }{Io} )\\I(dB)=10log10^{32}\\ I(dB)=32*10log10\\[/tex]

Since log10 = 1;

[tex]I(dB)=32*10(1)\\I(dB)=320[/tex]

The intensity in decibel is 320 decibel

Answer:

Its D or 80

Step-by-step explanation:

I=10^8 (I subscript 0) can be written as I/I subscript 0, and you can plug that right into the log to get 80.

Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600

Answers

Answer:

The correct answer is C) The elevation changes from 635 to 600 at the picnic area.

What is the area of the circle with a D equals 10

Answers

Answer:

A =78.5

Step-by-step explanation:

We need the radius to find the area of a circle

r = d/2 = 10/2 =5

The area of a circle is given by

A = pi r^2

A = 3.14 (5)^2

A =3.14 (25)

A =78.5

what is the square root of 3.375​

Answers

Answer: 1.83712

Step-by-step explanation:

Answer:

[tex]\sqrt{3.375}[/tex] = ~1.837

If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
eOf
(x+8)
(x-8)
(x+4)
(x-4)

Answers

Answer:

(x - 4)

Step-by-step explanation:

Given

x² + 2x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)

The factors are + 6 and - 4, since

6 × - 4 = - 24 and 6 - 4 = + 2, thus

x² + 2x - 24 = (x + 6)(x - 4) ← in factored form

Thus the other factor is (x - 4)

The solution is Option D.

The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 2x - 24 = 0   equation (1)

The equation can be factorized as

x² + 6x - 4x - 24 = 0

Taking x as the common factor , we get

x ( x + 6 ) - 4 ( x + 6 ) = 0

So , the equation will be

( x + 6 ) ( x - 4 ) = 0

Therefore , the factors of x are -6 and 4

Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

PLEASE HELP ME! Awarding brainliest!!

Pythagorean theorem.

Answers

Answer:

116.6

Step-by-step explanation:

100^2 + 60^2 = c^2

1360 = c^2

square root of 1360 is 116.6

Answer:

Shortcut = 116.62

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]

Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?

42
0.9
1
13

Answers

Answer: Claire made 42 muffins by closing time

Step-by-step explanation:

Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.

Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.

Answers

Answer:

1000/10x12= answer

Step-by-step explanation:

Part A:

Divide the number of lightning strikes to the number of seconds to find the average rate.

1000 / 10 = 100 strikes per second

Now, multiply by 12 to find the number of strikes that occurred.

100 * 12 = 1200 strikes in 12 seconds

Part B:

Divide the number of seconds to the number of lightning strikes to find the average rate.

10 / 1000 = 0.1 seconds per strike

Now, multiply by 7250 to find the number of seconds that passed.

0.1 * 7250 = 72.5 seconds in 7250 strikes

Best of Luck!

How many significant digits are there in the number 0.0001001? A. 4 B. 6 C. 8 D. 10

Answers

Answer:

A. 4

Step-by-step explanation:

leading zeros not included and the sig figs start from the first 1 so 4 sig figs

Answer:

4

Step-by-step explanation:

An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.

Answers

Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Options:

1. The domain of function h only contains values greater than or equal to 0.

2. The orange is at the same height 1 second after launch and 2 seconds after launch.

3. After 3 seconds, the orange has hit the ground.

4. The orange is 15 feet above the ground when it is launched.

5. The value t = 10 does not belong to the domain of h.

Answer:

Option 1 - True

Option 2 - False

Option 3 - False

Option 4 - True

Option 5 - True

Step-by-step explanation:

Looking at the options,

-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.

- At t = 1 second;

h = 15 + 60(1) - 16(1)²

h = 15 + 60 - 16 = 59 ft

Also, at t = 2 seconds;

h = 15 + 60(2) - 16(2)²

h = 15 + 120 - 64 = 71 ft

So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.

- The orange will hit the ground when h(t) = 0.

However, at t = 3;

h(t) = 15 + 60(3) - 16(3)²

h(t) = 51 ft

h(t) is not equal to zero at t = 3, so option 3 is false

- when the orange is launched it is at time t = 0.

Thus,

h(0) = 15 + 60(0) - 16(0)²

h(0) = 15 ft

So option 4 is true.

- At t=10, h(t) = 15 + 60(10) - 16(10)²

h(10) = -985

This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.

Answer:

1 true 4 true and 5 true the rest are false

Step-by-step explanation:

If B = 0 in a linear equation of the form Ax + By = C, then which statement is also true? A. The graph of this equation is a horizontal line. B. The graph of this equation is a vertical line. C. The graph of this equation is a slanted line. D. The graph of this equation can be any straight line.

Answers

Answer:

A) Its horizontal line

Step-by-step explanation:

Ax + By = C

so Ax + (0)y = C

a= c /x

its horizontal

Answer:

c

Step-by-step explanation:

Graph the inequality of y less than or equal to2x + 2?

Answers

First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.

Find the sum of the first 15 terms: {12, 36, 108, . . . }.


Answers

Answer:

Step-by-step explanation:

hello : here is an solution

9.3 with a bar on top as a fraction

Answers

It is 9+3/9, which is 9+1/3, which is 28/3.


Whenever you see a decimal thaf has a number with a bar on top, you can write it as that number divided by 9.

For example, 0.444 bar on top is equal to 4/9.

Please help!

a The v-intercept in the year 2010 is less than the y-intercept in the year 2015.
b The v-intercept indicates that the value of the statue was $19,000 in they year 2010.
c The v-intercept indicates that the value of the statue increased by 12% in one year.
d The v-intercept is 112% greater than the value of the statue in 2010.

Answers

A. The v-intercept in the year 2010 is less than the y-intercept in the year 2015

Solve for x. 4x^2 - 48x + 144 = 0

Answers

Process: x^2 -12x +36 =0
(X-6) ^2 =0
X-6=0

Result: x=6

Hey can anyone pls pls help me in dis math problem real quick!!!!!!

Answers

Answer:

1. 10.64

2. 6.45

Step-by-step explanation:

Hope this helps and can u mark me brainliest?

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?





Answers

To find the y intercept you substitute 0 for x.

f(x)=(0)^2+3(0)+5
f(x)=5

So your y intercept

Is y=5 or (0,5)

Answer:

(0, 5)

Step-by-step explanation:

To solve for the y-intercept, plug in 0 for all x values and solve.

For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =

Answers

Answer:

We have to questions here where we need to find the distance from the origin to each given point.

For (3,4).

The formula for distance is

[tex]s=\sqrt{x^{2}+y^{2} }[/tex]

[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]

Therefore, the value s that yields the coordinate (3,4) is 5 units.

For (9,1).

[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]

Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.

The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

The coordinates are given as:

(3,4) and (9,1)

The single value that yields the coordinates is calculated as:

[tex]s = \sqrt{x^2 + y^2}[/tex]

For (3,4), we have:

[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]

For (9,1), we have:

[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]

Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

Read more about coordinates at:

https://brainly.com/question/17206319

Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday he had soccer, swimming, and tennis. a In how many days will Michael have all three sports at the same day again?

Answers

Answer:

30

Step-by-step explanation:

The LCM of 2,3,5 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 2,3,5 is 2⋅3⋅5 = 30

Answer:

30

Step-by-step explanation:

Its that easy. I got the answer from online.

Can someone Help me with this

Answers

Answer:

33.165

Step-by-step explanation:

Answer:

33.165

Step-by-step explanation:

4.95*6.7= 33.165

hope this helps

Simplify the complex fraction.
Alw
2 3/4 1 1/8

Answers

Answer:

= 99/32

Step-by-step explanation:

2 3/4 1 1/8

= 11/4 * 9/8

= 99/32

SC Bookmarks
3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is

Answers

Answer:

Step-by-step explanation:

6 - 2x = 5x - 9x + 10  {add the like terms}

6 - 2x = - 4x + 10        {add (-6) to both side}

6 - 2x - 6 = - 4x + 10 - 6

-2x = - 4x + 4         {add 4x to both sides}

-2x + 4x = -4x + 4 + 4x

2x = 4           {divide both sides by 2}

2x/2x = 4/2

x = 2

factor: 10xsquared -11x-6=

Answers

Answer:

(5x+2)(2x-3)

Step-by-step explanation:

this is the answer

Hi can you please help me

Answers

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

Please Find the surface area of the sphere. Round your answer to the nearest hundredth.

Answers

The first thing I did was to be a part of the world and the other is a great way to get the best out of the way and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am

Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.

What is the largest possible number that she could choose as one of the seven numbers?

The largest possible number that she could choose as one of the seven numbers is _ _ because

Answers

Answer:

The largest possible number is 28.

Step-by-step explanation:

Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).

We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.

Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]

So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).

Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.

What is the measure of 0 in radians?
Enter an exact expression.
radians
3
7
In the diagram, is a central angle.

Answers

Answer:

Θ = π radians

Step-by-step explanation:

The central angle is equal to the arc that subtends it, that is

Θ = π

What are they?
Equal Lines?
Parallel Lines?
perpendicular Lines?
None of the above?

Answers

Answer:

Equal lines

Step-by-step explanation:

-5x-y = -4

Multiply by 3

-15x -3y = -12

This is the same as the second equation

That means the lines are the same

They are equal lines

Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C

Answers

Answer:

57

Step-by-step explanation:

Firstly, we will need to calculate what x is.

To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.

This means A and B are supplementary while B and C are also supplementary

what we are trying to say is that they add up to be 180

Thus,

5x + 18 + 3x -6 = 180

8x +12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57

Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57

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