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A conical cup is filled with icecream. The ice-cream forms a hemispherical shape on its open top. The height of the hemispherical part is 7 cm. the radius of the hemispherical part equals the height of the cone. Then the volume of the ice-cream is [π=22\7]
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Explanation:
In the question,
Radius of hemisphere
= Radius of cone
= height of cone
= 7 cm
(∴height of hemisphere = radius of hemisphere)
Volume of ice cream
= Volume of hemisphere part + volume of conical part
=2\3×22\7×(7)^3+1\3×22\7×7^2
=22\7×7^3=22×7^2
=1078cm^3