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finlep [7]
3 years ago
7

Find the height of a cone with a volume of 942 cubic units and a radius of 10 units

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
Volume of a cone: \frac{1}{3}\pir²h
Plug the radius and volume in the formula.

\frac{1}{3}\pi10²h = 942
Divide both sides by \frac{1}{3}.

\pi10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.
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