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borishaifa [10]
3 years ago
7

02:32:00

Mathematics
1 answer:
german3 years ago
7 0

The volume is given by

V=\pi hr^2

Since the height is 3 times the radius of the base, we can substitute h=3r:

V=\pi (3r)r^2=3\pi r^3

And we know that the volume is 24\pi (I'm actually assuming that there's a typo in the question, otherwise the options wouldn't match):

24\pi=3\pi r^3 \iff r^3=8 \iff r=2

The height is 3 times the radius, so it is

h=2\cdot 3 = 6

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