Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 16 feet and a

Question

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 16 feet and a height of 19 feet. Container B has a radius of 18 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?

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Xavia 44 mins 2023-01-23T18:34:14+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2023-01-23T18:35:16+00:00

    Volume of Cylinder A is pi times the area of the base times the height

    π r2 h = (3.1416)(4)(4)(15) = 753.98 ft3

    Volume of Cylinder B is likewise pi times the area of the base times the height

    π r2 h = (3.1416)(6)(6)(7) = 791.68 ft3

    After pumping all of Cyl A into Cyl B
    there will remain empty space in B 791.68 – 753.98 = 37.7 ft3

    The percentage this empty space is
    of the entire volume is
    37.7 / 791.68 = 0.0476 which is 4.8% when rounded to the nearest tenth

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