Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 20 feet. Container B has a diameter of 36 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

After the pumping is complete, what is the volume of the empty portion of Container B, to the nearest tenth of a cubic foot?

Guest Mar 25, 2022

edited by
Guest
Mar 25, 2022

#1**+1 **

Volume of cylinder A = pi × radius^{2 }× height

= pi × 13^{2 }× 20 = 10,618.6 ft ( to the nearest tenth of a cubic foot).

Volume of cylinder B = pi × radius^{2} × height

= pi × 18^{2} × 19 = 19,339.6 ft ( to the nearest tenth of a cubic foot).

Volume of the empty portion of cylinder B = 19,339.6 - 10,618.6 = 8721.1 ft^{3}

Guest Mar 25, 2022