The circumference of the base of a cylindrical vessel is 158.4 cm and height is 1 m. How many litres of water can it hold (correct to one decimal place)?

Solution (By Examveda Team)

$$\eqalign{ & h = 1\,{\text{m}} \cr & 2\pi r = 158.4 \cr & 2 \times \frac{{22}}{7} \times r = 158.4 \cr & r = 3.6 \times 7 \cr & V = \pi {r^2}h \cr & = \frac{{\frac{{22}}{7} \times 3.6 \times 7 \times 3.6 \times 7 \times 100}}{{1000}} \cr & = \frac{{199584}}{{1000}} \cr & = 199.6 \cr} $$