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A hemisphere and a cone with same radii are attached to get a solid as given in the figure. Radius of the hemisphere is 9 cm. The height of the two solids together is 21 cm.a. Find the height of the cone.b. Find the volume of the conec. Find the volume of the solids |
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Answer» a. Height of the cone 21 – 9 = 12 cm Volume of the sphere \(=\frac{2}{3}\pi \times9^3=486\pi \) cm3 b. Volume of the cone \(=\frac{1}{3}\pi\times9^2\times12=324\pi\) cm3 c. Total volume = \(486\pi+324\pi=810\pi\) cm3 |
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