The circumference of the base of a cylinder is 88 cm and its height is 60 cm.

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 $=\pi \mathrm{r}^{2} \mathrm{~h}=\frac{22}{7} \times 14 \times 14 \times 60=36960 \mathrm{~cm}^{3}$

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