Question

The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.

Answer 1

Volume of cylinder = height * pi * radius^2 volume of tank = 1/2(volume of cylinder) Volume of tank1 = 1/2(110ft * pi * (30ft^2)) = 49,500 pi ft^3 Volume of tank2 = 1/2(110ft * pi * (30ft^2)) = 49,500 pi ft^3 Volume combined = 49,500 pi ft^3 + 49,500 pi ft^3 = 99,000 pi ft^3 You could also realize that 2 congruent half-cylinders make 1 whole cylinder 110ft * pi * (30ft^2) = 99,000 ft^3 Volume ~= 311,018 ft^3