A cone has height h and a base with radius r. You want to change the cone so its
1 answer:
9514 1404 393
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
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