11. A conical cup is full of ice-cream and forms a hemispherical shape on its open end. If the common radius of the cone and hemi-sphere is 3.5 cm and the height of the cone is 10.5 cm, find the volume of the ice-cream in the conical cup.
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Volume of a hemisphere (= ³)
Volume of a cone (= r²h)
For a hemisphere, height will be same as radius.
Given, height of the hemispherical part is 7 cm.
• radius = 7cm
Radius of the base of the cone is also same
as radius of hemisphere = 7cm
Given, height of the cone is same as radius of the hemisphere.
Volume of ice-cream
( = πr³+ = πr² x r = π P²³)
Volume of ice-cream (= ² × 7³ = 1078 cm³)
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