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14 May, 19:47

A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?

A. 3

B. 4

C. 9

D. 10

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  1. 14 May, 20:27
    0
    D. 10

    Step-by-step explanation:

    The volume of the cylinder is given by the formula ...

    V = πr²h

    V = π (4 in) ² (13 in) = 208π in³

    The volume of a cone 3 inches in radius and 7 inches high is ...

    V = (1/3) πr²h = (1/3) (3 in) ² (7 in) = 21π in³

    Then the ratio of the volume of the cylinder to that of the cone is ...

    (208π in³) / (21π in³) ≈ 9.905

    You would need to fill the funnel about 10 times to fill the can.
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