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9 August, 20:54

Consider a prism with a height of 8 inches and a 14-inch by 14-inch square base, and a cylinder with a height of 10 inches and a diameter of 10 inches. Determine the difference in volume between the two solids.

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  1. 9 August, 23:06
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    782.5inch³

    Step-by-step explanation:

    In order to find the volume of the prism, we'll use formula

    V=Bh

    where B is the base area and h is the height

    Base area is given by: B = 14"*14"=196 inch²

    height = 8"

    Therefore, V=196*8 = 1568 in³

    Next is to find volume of the cylinder i. e

    v=r²h

    where,

    r = radius of cylinder i. e 10/2=5 inches

    h = height of cylinder i. e 10 inches

    So, V=3.142*5*5*10=785.5inch³

    Required:

    Difference in volume=1568-785.5=782.5inch³
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