Question

Find the radius of the base of a right circular cone which has a lateral surface area of $6\pi$ and a slant height of $6$ ( in standard units ).

• A. $0.50$
• B. $0.75$
• C. $1.00$
• D. $1.25$

Answer 1

The correct option is C $1.00$

Given, Lateral surface area $=6\pi$ and slant height $=6$.

Let the radius of base be $r$ and slant height of cone be $l=6$.

Therefore, Lateral surface area $=\pi rl$

$\Rightarrow 6\pi =\pi \times r\times 6$

$\Rightarrow r=1$.

Hence, option $C$ is correct.