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12 August, 06:50

A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder? A. 8 mm B. 14 mm C. 18 mm D. 16 mm

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  1. 12 August, 07:14
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    Surface of the sphere = 4*pi*r^2 = 256pi

    Surface of cylinder = 2pi*r*h + 2pi*r^2 = 256pi

    pi*r*h + pi*r^2 = 128pi

    pi*8*h + 64pi = 128pi

    8h = 64

    h = 8
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