Question

The curved surface area of a right circular cone is 156π and the radius of its base is 12 cm. What is the volume of the cone

• A. 192 π
• B. 240 π
• C. 210 π
• D. 180 π

Answer 1

Answer:

B. 240 π

Radius of cone = r = 12 cm Curved surface area of cone = πrl πrl = 156π 12 × l = 156 l = 13 l²= r² + h² 13² = 12² + h² h² = 169 – 144 = 25 h = √25 = 5 cm Volume of cone = (1/3)πr²h = 1/3 × π × 12 × 12 × 5 = 240π