Example 349

Problem: Find the volume of a smokestack that is 24 in. in diameter (entire length) and 96 in. tall.

Solution: First find the radius of the stack. The radius is one half the diameter, so 24 in. - 2 = 12 in. Now find the volume:

V = H x nr2 = 96 in. x n x (12 in.)2 = 96 in. x n x 144 in.2 = 43,407 ft3

To determine the volume of a cone and sphere, we use the following equations and examples:

Volume of cone = — x Diameter x Diameter x Height (3.9)

Note: The diameter used here is the diameter of the base of the cone.

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