Question

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

Answer 1

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Answer:

  a) h/2

  b) r/√2 = (r√2)/2

Step-by-step 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