what is the height of of a cone, thats volume measures 768pi cm cubed?
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1 Answer

⅓πr²h=768π, so r²h=2304=2⁸×3², so there are a number of possible integer answers:

r h
1 1 2304
2 4 576
3 9 256
4 16 144
6 36 64
8 64 36
12 144 16
16 256 9
24 576 4
48 2304 1

The most sensible solutions are ones where r and h have values of similar order, such as 12 and 16.

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