Question

A cone has height h and a base with radius r. You want to change the cone so its

volume is halved. What is the new height if you only change the height? What is the

new radius if you only change the radius? Explain.

Answer 1

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Answer:

a) h/2

b) r/√2 = (r√2)/2

Explanation:

a) The volume of a cone is proportional to height. If the volume is halved, then the height will be halved.

The new height will be h/2.

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b) The volume is proportional to the square of the radius. If the volume is halved, the square of the radius is halved. The new radius will be ...

(r')² = r²/2

r' = r/√2 = (r√2)/2 . . . radius of half-volume cone