Mathematics

Problem

A water tank has a rectangular base of length

4\,\text{m}

and breadth

3\,\text{m}

. Its height is

2\,\text{m}

. A right circular cylindrical portion of radius

1.5\,\text{m}

and height

1\,\text{m}

is built exactly on the top of this cuboid. Taking

\pi = \dfrac{22}{7}

, calculate the total capacity of the tank. a)

30.8\,\text{m}^3

52.3\,\text{m}^3

31.1\,\text{m}^3

28.7\,\text{m}^3