A cylinder has a curved surface area of 2640 cm^2 and radius

a-cylinder-has-a-curved-surface-area-of-2640-cm-2-and-radius

A cylinder has a curved surface area of 2640 cm^2 and radius of 14 cm, what is the height of cylinder? (Take π = \(\frac{22}{7}\))

A. 16cm

B. 20cm

C. 28cm

D. 30cm

The question was asked in examination.

My question is based upon Surface Area of a Right Circular Cylinder in chapter Surface Areas and Volumes of Mathematics – Class 9

The correct choice is D. 30cm

To explain I would say: We know that curved surface area of a cylinder = 2πrh

Curved surface area = 2640 cm^2 and r = 14 cm (given)

Therefore, 2 * \(\frac{22}{7}\) * 14 * h = 2640

h = 30cm.