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

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

Answers (1)

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Since the vessel consists of hemisphere and cylinder, thus its area is given by :

                        Area of vessel   =  Inner area of the cylinder(curved)  +  Inner area of hemisphere

The inner surface area of the hemisphere is :

                                                =\ 2\pi r^2

or                                            =\ 2\times \left ( \frac{22}{7} \right ) \times 7^2

or                                           =\ 308\ cm^2

And the surface area of the cylinder is  : 

                                               =\ 2\pi rh

or                                           =\ 2\times \frac{22}{7}\times 7\times 6

or                                           =\ 264\ cm^2

Thus the inner surface area of the vessel is  = 308 + 264 = 572 \:cm^2.

Posted by

Devendra Khairwa

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