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Home » The adjoining figure shows a hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.
The adjoining figure shows a hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.
CBSE | Class 10 | Exercise 1 | maths | Maths | Mensuration | ML Aggarwal
The adjoining figure shows a hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.

Solution:

Given radius of the hemisphere, r = 5 cm

Radius of cone, r = 5 cm

Height of the cone, h = 7 cm

Volume of the solid = Volume of the hemisphere + Volume of the cone

= (2/3)r3 + (1/3)r2h

= (1/3)r2(2r+h)

= (1/3)×(22/7)×52(2×5+7)

= (22/21)×25(10+7)

= (22/21)×25×17

= 445.238 cm3

= 445.24 cm3

Hence the volume of the solid is 445.24 cm3 .

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