An apartment complex has an in-ground pool that is in the shape of a cylinder with a diameter of 18 feet and a height of 5 feet. The pool is filled with water to a depth of 4.5 feet. If each person who enters the pool displaces about 2.5 cubic feet of water, approximately what maximum number of people will the pool hold without overflowing? Use 3.14 for pi and round to the nearest whole number of people.

Answer 1

so, you need .5 ft of height to be filled with people
v = pi * 9^2 * .5 ft^3
divide that by 2.5 to get the number of people

Answer 2

To: oobleck

But what about the 4.5? Do we not need it?

Answer 3

uh, noooooo
the first 4.5 feet already are full of water
They just need to raise the water level the last 0.5 feet till it starts to overflow.