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14 November, 12:15

A right cone with a radius of 4 inches and a square pyramid both have a slant height of 5 inches. Both solids have the same surface area. Find the length of a base edge of the pyramid. Round your answer to the nearest hundredth.

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  1. 14 November, 12:40
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    The surface area of the cone is given by:

    SA=πrl

    Thus the surface area of the cone will be:

    SA=π*4*5

    SA=20π=63.932

    Surface area of the pyramid is given by:

    SA=1/2*4 * (b*l)

    thus the base length will be:

    63.932=10l

    thus

    l=6.3932 in
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