1.

A conical cup is filled with ice-cream. 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 (use π = 22/7)1). 1078 cubic cm2). 1708 cubic cm3). 7108 cubic cm4). 7180 cubic cm

Answer»

VOLUME of a hemisphere $(= \frac{2}{3}\PI {R^3})$

Volume of a cone $(= \frac{1}{3}\pi {r^2}h)$

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 $(= \frac{2}{3}\pi {r^3} + \frac{1}{3}\pi {r^2} \times r = \pi {r^3})$ 

⇒ Volume of ice-cream $(= \frac{{22}}{7} \times {7^3} = 1078\;C{m^3})$


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