Question

The volume of air in a hollow cylinder is 450 cm³. A cone of the same height and radius as that of the cylinder is kept inside it. The volume of empty space in the cylinder is:

Options

• 225 cm³

• 150 cm³

• 250 cm³

• 300 cm³

Answer 1

300 cm³

Explanation:

Given, volume of cylinder = 450 cm³

πr²h = 450 cm³

Volume of cone = `1/3 πr^2h`

= `1/3 xx 450`

= 150 cm³

∴ Volume of empty space = Volume of cylinder – Volume of cone

= 450 – 150

= 300 cm³