The curved surface area of a solid right circular cone is 1320 square centimeters. If the diameter of the base of the cone is 14 cm, find its height.

Q.The curved surface area of a solid right circular cone is 1320 square centimeters. If the diameter of the base of the cone is 14 cm, find its height.

Let the height of the cylinder be \(h\) cm. The radius of the cylinder = \(\frac{14}{2}\) cm = \(7\) cm. ∴ According to the question, \[ 2\pi \times 7 \times h = 1320 \] ⇒ \(2 \times \frac{22}{7} \times 7 \times h = 1320\) ⇒ \(h = \frac{1320 \times 7}{2 \times 22 \times 7} = 30\) ∴ The height of the cylinder is 30 cm.