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Thread: another adv. geometry problem

  1. April 30th 2008, 05:28 PM #1
    personplacething123
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    another adv. geometry problem

    A silo is composed of a hemishpere and a cylinder. The total height of the silo is 20 meters and the diamtere of the silo is 8 meters. What is the volume of the silo to the nearest cubic meter?
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  2. April 30th 2008, 06:16 PM #2
    TheEmptySet
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    Quote Originally Posted by personplacething123 View Post
    A silo is composed of a hemishpere and a cylinder. The total height of the silo is 20 meters and the diamtere of the silo is 8 meters. What is the volume of the silo to the nearest cubic meter?
    The Diameter of the sphere is 8 meters so its radius is 4 meters.

    So the height of the cylinder is 16meters

    So the total volume is

    Volume of the cylinder + 1/2 Volume of the sphere

    V=\pi(4m)^2(16m)+\frac{1}{2}\cdot \frac{4}{3}\pi(4m)^3

    V=64\pi(m)^3+\frac{128\pi}{3}m^3=\frac{320\pi}{3}m ^3
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