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Annette [7]
3 years ago
15

A sphere and a cone have the same volume. each figure has a radius of 3 inches.

Mathematics
1 answer:
Inessa [10]3 years ago
8 0
The volume of a sphere - \frac{4}{3} \pi r^3
The volume of a cone - \frac{1}{3} \pi r^2 h
r - radius, h - height

The sphere and the cone have the same volume and the radius is 3 inches.
\frac{4}{3} \pi \times 3^3=\frac{1}{3} \pi \times 3^2 \times h \ \ \ |\div \pi \\
\frac{4}{3} \times 27=\frac{1}{3} \times 9 \times h \\
36=3h \ \ \ |\div 3 \\
h=12

The height of the cone is 12 inches.
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