Question

If the lateral surface of a cylinder is $94.2c{m}^2$ and its height is $5cm$, then find the radius of its base. [use $\pi =3.14$].

Answer 1

Given:

The lateral surface of a cylinder is $94.2c{m}^2$

Height of the cylinder $\left(h\right)=5cm$

Let the radius of the cylinder be $r$.

CSA of cylinder is $2\pi rh$.

$\Rightarrow 2\pi rh=94.2c{m}^2$

$\Rightarrow 2\times 3.14\times r\times 5cm=94.2c{m}^2$

$\Rightarrow 31.4r=94.2cm$

$\Rightarrow r=\frac{94.2cm}{31.4}$

$\Rightarrow r=3cm$

Hence, the radius of the base is $3cm$.