The volume of a cone varies jointly with its height and the square of its base radius. A cone has a base radius of 4ft, height of 6 ft, and volume 100.48 (cubed feet).

What is volume of a cone with a height of 3ft, and a base radius of 3ft.

Question

Jayden Barrett

Mathematics

4 March, 20:13

The volume of a cone varies jointly with its height and the square of its base radius. A cone has a base radius of 4ft, height of 6 ft, and volume 100.48 (cubed feet).

What is volume of a cone with a height of 3ft, and a base radius of 3ft.

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Answers (1)

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Silas Dudley · Answer 1

"Joint variation " means "directly, but with two or more variables". We calculate as follows:

Volume = khr^2

100.48 = k (6) (4^2)

k = 1.05

Volume = 1.05h (r^2)

Volume = 1.05 (3) (3^2)

Volume = 28.35 ft^3

The volume of a cone varies jointly with its height and the square of its base radius. A cone has a base radius of 4ft, height of 6 ft, and volume 100.48 (cubed feet).What is volume of a cone with a height of 3ft, and a base radius of 3ft.

The volume of a cone varies jointly with its height and the square of its base radius. A cone has a base radius of 4ft, height of 6 ft, and volume 100.48 (cubed feet).

What is volume of a cone with a height of 3ft, and a base radius of 3ft.