Verified Answer :

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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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