Question

The total surface area of a solid cylinder is $462{\text{cm}}^2$ and its curved surface area is one-third of total surface area. Find the volume of the cylinder.

Answer 1

Total surface area of cylinder = 462 $c{m}^2$

Currend surface area $=\frac{1}{3}$ of Total Surface Area

$=\frac{1}{3}\times 462$

$=154c{m}^2$

Area of each circle $=\frac{(462-154)}{2}$

$=154c{m}^2$

$\pi r^2=154$

$r=7$

$2\pi rh=154$

$h=\frac{154\times 7}{2\times 22\times 7}$

$h=3.5$

Volume = $\pi r^{2}h=539c{m}^3$