Question

The volume of a cylinder is $448\pi c{m}^3$ and height is $7$ cm The lateral surface area of cylinder is

• A. $252$ $c{m}^2$
• B. $300$ $c{m}^2$
• C. $352$ $c{m}^2$
• D. $400$ $c{m}^2$

Answer 1

The correct option is C $352$ $c{m}^2$

$\pi r^{2}h=448\pi$
$r^2\left(7\right)=448\Rightarrow r^2=\frac{448}{7}=64\Rightarrow r=8cm$
L.S.A of cylinder $=2\pi rh=2\times \frac{22}{7}\times 8\times 7=352c{m}^2$