Question

The diameter of a cylinder is 28 cm and its height is 40 cm .Find the curved surface area, total surface area and the volume of the cylinder.

Answer 1

Given: diameter of the base (d) = 28 cm
Radius of the base (r) =$\frac{28}{2}=14cm$
Height (h) = 40 cm
(i) Curved surface area of cylinder = $2\pi rh$
$=2\times \frac{22}{7}\times 14\times 40$
$=3520c{m}^2$
(ii) Total surface area of cylinder=$2\pi r(r+h)$
$=2\times \frac{22}{7}\times 14(14+40)$
$=2\times 22\times 2\times 54$
$=4752c{m}^2$

(iii) Volume of cylinder $=\pi r^{2}h$
$=\frac{22}{7}\times (14{)}^2\times 40$
$=22\times 14\times 2\times 40$
$=24640c{m}^3$