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4 February, 08:32

A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water, to the nearest inch what is the height of the cone?

a. 1B) 4C) 5D) 8

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  1. 4 February, 10:45
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    Volume of a cone: V = pi (r^2) h/3 to solve for height (h), divide pi and r^2 from both sides canceling it out in the right making v/pi (r^) = h/3 then multiply 3 by both sides to cancel the 3 on the right leaving

    h = (3) V/pi (r^2)

    since it is known the diameter is 3 inches, the radius is 1.5 because the radius is half the diameter

    the volume is also known to be 12 cubic inches so plug in what you know

    H = (3) 12/pi (1.5^2)

    to get the height to be approximately 5.093in
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