A decorative piece is made by placing a solid right circular cone on a solid…

MATHEMATICS · Single correct · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A decorative piece is made by placing a solid right circular cone on a solid hemisphere so that their bases coincide. Both solids have radius

7\,\text{cm}

. If the combined volume of the piece is

1180.7\,\text{cm}^3

(use

\pi = \dfrac{22}{7}

), determine the height of the cone. (a)

12\,\text{cm}

(b)

6\,\text{cm}

(c)

9\,\text{cm}

(d)

16\,\text{cm}