Question

The curved area of a solid cylinder is S cm² and the circumference of its base is C cm; the height of the cylinder is ______.

Options

• C × S 

• C + S

• S ÷ C

• S − C

Answer 1

The curved area of a solid cylinder is S cm² and the circumference of its base is C cm; the height of the cylinder is S ÷ C.

Explanation:

Let height of cylinder be h cm and radius be r cm.

Given,

The curved area of a solid cylinder is S cm².

By formula,

Circumference of base = 2πr

Curved surface area = 2πrh

⇒ S = 2πrh

⇒ S = C.h

⇒ h = `S/C`​ = S ÷ C