geometry question

Question

a cylindrical water tank has a radius of 5 ft and a height of 10 ft. The volume of water in the tank is 565.2 cubic feet. What is the height of the water in the tank?

Answer 1

Here's what we know:

V_cyl = πr²h (Volume of a cylinder is equal to the area of a circle * height)

r = 5

V = 565.2

π ≈ 3.14

Plug in variables

565.2 ≈ 3.14* 5²h

565.2 ≈ 3.14 * 25h

565.2 ≈ 78.5h

7.2 ≈ h

 

So the height is about 7.2 feet tall.