Question

A cylindrical tank holds about 615.44

cubic inches of helium. The radius of the tank
is 3 1/2 (3 and one half)inches. What is the height of the tank?
Use 3.14 for Pi. (Please give explanation/show work)

Answer 1

The height is 15.992 in

Explanation:

1. The equation for a cylinder is
`V=\pi r^2h`. In this case, the equation looks like
`615.44=\pi (3.5)^2h`

2. Isolate h by dividing both sides of the equation by
`\pi (3.5)^2`

3. This leaves us with
`(615.44)/(\pi (3.5)^2)=h`

4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)