A solid cone has radius 7 cm, height 24 cm and slant height 25 cm. A hemispherical cavity of radius

Question

A solid cone has radius 7 cm, height 24 cm and slant height 25 cm. A hemispherical cavity of radius 3 cm is bored into its base. Using $\pi=3.142$, find the total exposed surface area, the remaining volume. Give answers to 2 d.p.

Accepted Answer

(a) $732.09\text{ cm}^2$; (b) $1175.11\text{ cm}^3$ (2 d.p.).

Cone with a hemispherical cavity

Cone with a hemispherical cavity

Solution:

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