Question

A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is $3$ m, then the slant height of the cone (in m) is

• A. $3$
• B. $4$
• C. $6$
• D. $7$

Answer 1

Answer: (C)

$6$

Given the radius of cylinder and cone are the same because there base areas are same.
Curved surface of cylinder $=$ curved surface area of the cone
$\therefore 2\pi rh=\pi rl$
$\therefore l=2h$
Given, height of cylinder $=3$ cm
Therefore, slant height of cone $=6$ cm