Question

# A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $14cm$ and the total height of the vessel is $13cm.$ Find the inner surface area of the vessel.

Open in App
Solution

## The diameter of the hemisphere $=D=14cm$The radius of the hemisphere $=r=7cm$The height of the cylinder $=h=\left(13-7\right)=6cm$The radius of the hollow hemisphere $=7cm$The inner surface area of vessels $=$C.S.A of cylinder $+$ C.S.A of Hemisphere $=2\pi rh+2\pi {r}^{2}\phantom{\rule{0ex}{0ex}}=2\pi r\left(h+r\right)\phantom{\rule{0ex}{0ex}}=2×\frac{22}{7}×7×\left(6+7\right)\phantom{\rule{0ex}{0ex}}=44×13\phantom{\rule{0ex}{0ex}}=572c{m}^{2}$Hence, the inner surface area of the vessel is $572c{m}^{2}.$

Suggest Corrections
0