Question

The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height, and the volume is 3000 cubic feet. How deep is the pool? In other words, what is the height of the pool?

Answer 1

9514 1404 393

Answer:

6.2 ft

Explanation:

The volume of a cylinder is given by ...

V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

3000 ft³ = π(2h)²h

(3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.