A cylindrical pillar of radius is surmounted by a solid hemisphere of the same radius

MATHEMATICS · Single correct · CBSE · Mathematics · Statistics · Statistics

Problem

A cylindrical pillar of radius

0.5\,\text{m}

is surmounted by a solid hemisphere of the same radius. The total height of the combined solid is

4\,\text{m}

. How much sheet metal (in

\text{m}^{2}

) is required to cover the entire outer surface of the solid, excluding the flat bottom of the cylinder? (a)

11.8

(b)

12.6

(c)

14.1

(d)

10.0