Question

The height of the cylinder is increased by 20% and radius is increased by 10%, the volume of the cylinder is 2000 cm³. Find the new volume of cylinder.
1. 2500 cm³
2. 2806 cm³
3. 2904 cm³
4. 3000 cm³

Answer 1

Correct Answer - Option 3 : 2904 cm³

Given:

The height of the cylinder is increased by 20%

The radius of the cylinder is increased by 10%

The volume of the cylinder is 2000 cm3

Formula Used:

The volume of the cylinder = πr2h

Where, r = radius, h = height and π = constant

Calculation:

The volume of the cylinder = πr2h

Then, the radius is increased two times 10% and height is increased one time 20%

The new volume of the cylinder = 2000 × (110/100)(110/100)(120/100)

⇒ 2000 × (11/10)(11/10)(6/5)

⇒ 2904 cm³

∴ The new volume of the cylinder is 2904 cm³.