A cone and a hemisphere have equal curved surface areas and radius r. Find the slant height of the cone.
Show answer & explanation
Correct answer: C
Explanation
Has been given :
Radius of cone = r
Radius of hemisphere = r
Both have the same curved surface area
According to the formula:
Curved surface area of cone = πrl
Curved surface area of hemisphere = 2πr²
πrl = 2πr²
rl = 2r²
l = 2r