In a manufacturing plant, a cone-shaped part has a curved surface area of 330 cm² and a base radius of 7 cm. What is its height?
Show answer & explanation
Correct answer: B
Explanation
Has been given :
Curved surface area = 330 cm²
Radius (r) = 7 cm
According to the formula:
Curved surface area = πrl
l² = r² + h²
330 = (22/7) × 7 × l
330 = 22l
l = 15
l² = r² + h²
15² = 7² + h²
225 = 49 + h²
h² = 176
h = √176 = 13.26 cm