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?
Volume of cylinder A = pi × radius2 × height
= pi × 132 × 20 = 10,618.6 ft ( to the nearest tenth of a cubic foot).
Volume of cylinder B = pi × radius2 × height
= pi × 182 × 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 ft3