Mathematics

Problem

A toy is made by fixing a solid hemisphere of radius

3\,\text{cm}

on top of a solid right circular cylinder of the same radius and height

7\,\text{cm}

. Find the total surface area of the toy. (Give your answer in terms of

\pi

.) a)

78\pi\,\text{cm}^2

69\pi\,\text{cm}^2

60\pi\,\text{cm}^2

51\pi\,\text{cm}^2