Mathematics

Problem

A water container consists of a right circular cylinder (radius

1\text{ m}

, height

2\text{ m}

) surmounted by a hemisphere of the same radius. Two taps, A and B, discharge

30\text{ L min}^{-1}

and

45\text{ L min}^{-1}

respectively into the empty container simultaneously. Approximately how long will it take to fill the container completely? (Use

\pi = 3.14

.) a)

98 \text{ min}

112 \text{ min}

84 \text{ min}

140 \text{ min}