Question

If the lateral surface of the cylinder is $500{cm}^2$ and ts height is 10 cm, then find radius of its base. (use $\pi =3.14$).

• A. $6.92cm$
• B. $7.96cm$
• C. $6.54cm$
• D. $8.22cm$

Answer 1

The correct option is B $7.96cm$

Lateral surface area of cylinder is $A=2\pi rh$

Here, the curved surface area is $A=500$ cm${}^2$ the height is $h=10$ cm.

Thus,

$A=2\pi rh\Rightarrow 500=2\times 3.14\times r\times 10\Rightarrow 500=62.8r\Rightarrow r=\frac{500}{62.8}=7.96$

Hence, radius of the cylinder is $7.96$ cm.