Question

The height of a right circular cylinder is $14cm$ and its curved surface surface is $704sq.cm$. Then its volume is :

• A. $1408c{m}^3$
• B. $2816c{m}^3$
• C. $5632c{m}^3$
• D. $9856c{m}^3$

Answer 1

The correct option is B $2816c{m}^3$

Given : A Right circular cylinder

Height $=14cm$

curved surface area $\left(CSA\right)=704sq.cm$

Volume = ?

We know,

Curved surface area of cylinder $=2\pi rh$

$704c{m}^2=2\pi r\times 14cm$

$r=\frac{704cm}{2\pi \times 14}$

$r=\frac{352cm}{14\pi }$

$r=\frac{176cm}{7\pi }$ (putting $\pi =\frac{22}{7})$

$r=\frac{176\times 7}{7\times 22}cm$

$r=8cm$

Volume of a Right circle cylinder $\left(v\right)=\pi r^{2}h$

$=\frac{22}{7}\times 8\times 8\times 14c{m}^3$

$=2816c{m}^3$