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denpristay [2]
3 years ago
11

Find the height of a right circular cone whose radius is 5 cm and volume is 100π cm3.

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
V=\dfrac{1}{3}\pi r^2H\\\\V=100\pi\ cm^3;\ r=5\ cm\\\\subtitute\\\\\dfrac{1}{3}\pi\cdot5^2\cdot H=100\pi\ \ \ |divide\ both\ sides\ by\ \pi\\\\\dfrac{1}{3}\cdot25H=100\ \ \ |multiply\ both\ sides\ by\ 3\\\\25H=300\ \ \ \ |divide\ both\ sides\ by\ 25\\\\\boxed{H=12\ (cm)}
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Answer:

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Answer:

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3 years ago
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