A piece of hemisphere metal alloy has a radius of $14$ cm. A right circular cone of radius $14$

Question

A piece of hemisphere metal alloy has a radius of $14$ cm. A right circular cone of radius $14$ cm and height $14$ cm is drilled out from it to give the resulting hollow container $A$.

Find

the volume of metal alloy used to make the container $A$,
the total surface area of the container $A$.

Accepted Answer

(a) $2870\text{ cm}^3$ (b) $2100\text{ cm}^2$

Composite Solid: Hemisphere Drilled by a Cone

Composite Solid: Hemisphere Drilled by a Cone

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