Question

The height of a cylinder is $14cm$ and its $CSA$ is $264{cm}^2,$ then cylinder is.........${cm}^3$

• A. $183$
• B. $396$
• C. $896$
• D. $968$

Answer 1

Answer: (B)

$396$

$Formulaused$
$CSAofcylinder=2\pi rh$
$Volumeofcylinder=\pi r^{2}h$
$Given$
$height=14cm$
$CSA=264c{m}^2$
$2\pi rh=264$
$\Rightarrow 2\times \frac{22}{7}\times r\times 14=264$
$\Rightarrow r=\frac{264\times 7}{2\times 22\times 14}=3cm$
$Volume=\pi r^{2}h$
$=\frac{22}{7}\times {\left(3\right)}^2\times 14$
$=\frac{22\times 9\times 14}{7}$
$=396c{m}^3$