A cylinder of height 8 cm and radius 6 cm is melted and converted into 3 cones of the same radius and height that of cylinder. Determine the total curved surface area of cones.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 180𝜋 cm2
According to the question
The volume of the cylinder = 3 * The volume of the cone
𝜋r2h = 3 * ⅓ 𝜋r2h
𝜋r2h = 𝜋r2h
The total curved surface area of cones = 3 * 𝜋rl
l = √(64 + 36) = √100 = 10
= 3 * 𝜋 * 6 * 10 = 180𝜋 cm2