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…

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 $(= \frac{{22}}{7} \times {7^3} = 1078\;c{m^3})$