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Home » 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.
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.
CBSE | Class 10 | Exercise 13.1 | Maths | NCERT | Surface Areas And Volumes
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.

The chart is as per the following:

Ncert solutions class 10 chapter 13-2

Presently, the given boundaries are:

The measurement of the half of the globe = D = 14 cm

The sweep of the half of the globe = r = 7 cm

Additionally, the tallness of the chamber

    \[=\text{ }h\text{ }=\text{ }\left( 13-7 \right)\text{ }=\text{ }6\text{ }cm\]

Also, the sweep of the empty side of the equator = 7 cm

Presently, the internal surface space of the vessel = CSA of the tube shaped part + CSA of hemispherical part

    \[\left( 2\pi rh+2\pi r^2 \right)\text{ }cm^2\text{ }=\text{ }2\pi r\left( h+r \right)\text{ }cm^2\]

    \[2\times \left( 22/7 \right)\times 7\left( 6+7 \right)\text{ }cm^2\text{ }=\text{ }572\text{ }cm^2\]

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