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 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A

Question

Mathematics

Maggie Taylor

10 November, 00:49

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 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A

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Answers (2)

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Jason · Answer 1

3,815.1 feet³

Step-by-step explanation:

Volume filled in B = Volume emptied from A

pi * r² * h

3.14 * (18/2) ² * 15

3815.1 feet³

Cohen Peters · Answer 2

First, let's work out the V of container A and B

V_A = pi x (diameter/2) ^2 x height = pi x (26/2) ^2 x 14 = 2366 pi (ft3)

V_B = pi x (diameter/2) ^2 x height = pi x (18/2) ^2 x 15 = 1215 pi (ft3)

After pumping water from container A to container B until B is full:

The empty space inside container A would be:

V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)