Question:
The circumference of the base of a cylinder is 88 cm and its height is 60 cm. Find the volume of the cylinder and its curved surface area.
Solution:
Circumference of the base $=88 \mathrm{~cm}$
Height $=60 \mathrm{~cm}$
Area of the curved surface $=$ circumference $\times$ height $=88 \times 60=5280 \mathrm{~cm}^{2}$
Circumference $=2 \pi r=88 \mathrm{~cm}$
Then radius $=r=\frac{88}{2 \pi}=\frac{88 \times 7}{2 \times 22}=14 \mathrm{~cm}$
$\therefore$ Volume $=\pi \mathrm{r}^{2} \mathrm{~h}=\frac{22}{7} \times 14 \times 14 \times 60=36960 \mathrm{~cm}^{3}$