Question

Which is the correct first step in finding the height of a cylinder with a volume of 178 pi cubic inches and a radius of 8 inches?

V = pi r squared h. 8 = pi (178) squared h
V = pi r squared h. V = pi + (8) squared + 178 pi
V = pi r squared h. V = pi (8) squared (178)
V = pi r squared h. 178 pi = pi (8) squared h

Answer 1

the last one 178 pi

Explanation:

Answer 2

LAST OPTION:
`178 \pi=\pi (8)^2h`

Explanation:

For this exercise you need to remember that the volume of a cylinder can be calculated with the following formula:

`V=\pi r^2h`

Where "r" is the radius and "h" is the height of the cylinder.

In this case, you know that the height of this cylinder and its volume are the following:

`V=178 \pi\ in^3\\\\r=8\ in`

Knowing these values you can substitute them into the formula shown above:

`178 \pi=\pi (8)^2h` (CORRECT FIRST STEP)

Now you can solve for "h" by dividing both sides of the equation by
`\pi (8)^2`. Therefore, you get:

`(178 \pi)/(\pi (8)^2)=(\pi (8)^2h)/(\pi (8)^2)\\\\h=2.78\ in`