Question

A petrol tank is in the shape of a cylinder with hemisphere of the same radius as the base of the cylinder attached to both ends. If the total length of the tank is 5 meters and the base radius of the cylinder is 1 metre, how many litres of petrol can it hold?

Answer 1

Volume of cylinder = πr²h = 3πcm³

Volume of hemisphere = 2/3 πr³

\(=\frac{2}{3}\pi=\frac{2}{3}\pi\) cm³

Volume of petrol tank = \(3\pi+2\times\frac{2\pi}{3}\)

\(=3\pi+\frac{4\pi}{3}=\frac{13\pi}{3}=4.33\pi\) m³

\(=4.33\pi \times1000l=13596.2l\)