SOLUTION: The radius of the base of a cone is 3 in. The height of the cone is 18 in. Find the exact volume of the cone.

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Question 1168970: The radius of the base of a cone is 3 in. The height of the cone is 18 in. Find the exact volume of the cone.
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

V+=+%281%2F3%29%2Api%2Ar%5E2%2Ah is the volume of a cone with radius r, height h.

V+=+%281%2F3%29%2Api%2A3%5E2%2A18 plug in the given radius and height, r = 3 and h = 18 respectively.

V+=+%281%2F3%29%2Api%2A9%2A18

V+=+%281%2F3%29%2Api%2A162

V+=+%281%2F3%29%2A162%2Api

V+=+%281%2F3%29%2A%28162%2F1%29%2Api

V+=+%28%281%2A162%29%2F%283%2A1%29%29%2Api

V+=+%28162%2F3%29%2Api

V+=+54pi is the exact volume of the cone in terms of pi

The units for the volume are "cubic inches" which you can abbreviate to "in^3".