Question

If the volume of a vessel in the form of a right circular cylinder is 448 $\pi c{m}^3$ and its height is 7 cm, then the curved surface area of the cylinder is

• A. $224\pi c{m}^2$
• B. $212\pi c{m}^2$
• C. $112\pi c{m}^2$
• D. None of these

Answer 1

The correct option is C $112\pi c{m}^2$

Volume of a Cylinder of Radius $R$ and height $h$ $=\pi R^{2}h$
$\therefore$ volume of the given cylinder $=\pi \times R^2\times 7=448\pi {cm}^3$

$R^2=64$

$R=8cm$

Curved surface area of a cylinder of radius "$R$" and height "$h$" $=2\pi Rh$

$\therefore$ curved surface area of the given cylinder $=2\times \pi \times 8\times 7=112\pi c{m}^2$