The volume of a cone varies jointly as its height and the square of its radius. If the volume of a cone is 1π cubic inches when the radius is 1 inch and the height is 3 inches, find the volume of a cone when the radius is 3 inches and the height is 6 inches.

The volume of a cone varies jointly as its height and the square of its radius. If the volume of a cone is 1π cubic inches when the radius is 1 inch and the height is 3 inches, find the volume of a cone when the radius is 3 inches and the height is 6 inches.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 6P

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Question

The volume of a cone varies jointly as its height and the square of its radius. If the volume of a cone is

1π

cubic inches when the radius is

inch

and the height is

inches, find the volume of a cone when the radius is

inches

and the height is

inches.

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