Question

The height of a cylinder is 14 cm and its curved surface area is 264 cm². The volume of the cylinder is ______.

Options

• 308 cm³

• 396 cm³

• 1232 cm³

• 1848 cm³

Answer 1

The height of a cylinder is 14 cm and its curved surface area is 264 cm². The volume of the cylinder is 396 cm³.

Explanation:

Curved surface area = 264 cm².

Let r cm be the radius of the cylinder.

Then we have:

2πrh = 264

⇒ `2 xx 22/7 xx r xx 14 = 264`

⇒ `r = (264 xx 7)/(44 xx 14)`

⇒ r = 3 cm

∴ Volume of the cylinder = `22/7 xx 3^2 xx 14`

= 22 × 9 × 2

= 396 cm³