Question

A wafer cone is completely filled with ice cream forms a hemispherical scoop, just covering the cone. The radius of the top of the cone, as well as the height of the cone are 7 cm each. Find the volume of the ice cream in it ( in cm${}^3$ ).

Answer 1

Required volume$=$ Volume of the ice cream forming the hemisphere $+$ Volume of the ice cream within the cone.

Radius of the hemispherical shape $=$ Radius of the cone $=7cm$

Volume of hemisphere $=\frac{2}{3}\pi (r{)}^3$

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

Required volume $=\frac{2}{3}\pi (7{)}^3+\frac{1}{3}\pi (7{)}^3$

$=\pi (7{)}^3=\frac{22}{7}(7{)}^3$

$=1078$ $c{m}^3$

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