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13 June, 09:41

The volume of a cylinder is 32.35 cubic inches. If a cone has the same height and radius as the cylinder, what is it's volume

A. 8.06 cu. in.

B. 10.75 cu. in.

C. 21.5 cu. in.

D. 32.25 cu. in.

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Answers (1)
  1. 13 June, 11:26
    0
    B: 10.75 in^3

    Step-by-step explanation:

    Let's compare the formulas for the volume of a cylinder and the volume of a cone, where the radii and the height of one are the same as the radii and the height of the other:

    cylinder: V = pi*r^2*h

    cone: V = (1/3) pi*r^2*h

    Thus, in this problem the volume of the cone is one third of 32.35 in^3, or 10.78 in^3. Answer B is closest to this result.
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