Question

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

Answer 1

Hey mate ^_^

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Answer:
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Height of cylindrical portion = 13 - 7 = 6 cm

R = 14/2 = 7 cm

Curved surface area of cylindrical portion = 2πrh

= 2 × 22/7 × 7 × 6

= 84 × 22/7

= 264 cm^2

Curved surface area of hemispherical portion = 2πrh

= 2 × 22/7 × 7 × 7

= 98 × 22/7

= 308 cm^2

Inner surface area of the vessel = CSA of cylindrical portion + CSA of hemispherical portion

= 264 + 308

= 572 cm^2

Hence, inner surface area of vessel is 572 cm^2.

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NOTE:
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Answer 2

here's ur Answer ✍️✍️


Height of cylindrical portion = 13 - 7 = 6 cm

R = 14/2 = 7 cm

Curved surface area of cylindrical portion = 2πrh

= 2 × 22/7 × 7 × 6

= 84 × 22/7

= 264 cm^2

Curved surface area of hemispherical portion = 2πrh

= 2 × 22/7 × 7 × 7

= 98 × 22/7

= 308 cm^2

Inner surface area of the vessel = CSA of cylindrical portion + CSA of hemispherical portion

= 264 + 308

= 572 cm^2

Hence, inner surface area of vessel is 572 cm^2.


hope it HELPS U ✌️✌️