Question

If a marble of radius 2.1 cm is put into a cylindrical cup, full of water, of radius 5 cm and height 6 cm, then the volume of water that flows out of the cup is ______.

Answer 1

If a marble of radius 2.1 cm is put into a cylindrical cup, full of water, of radius 5 cm and height 6 cm, then the volume of water that flows out of the cup is 38.8 cm³.

Explanation:

The formula for the volume of a sphere is `V = 4/3 πr^3`

Substituting r = 2.1 cm and `π = 22/7`:

`V = 4/3 xx 22/7 xx (2.1)^3`

`V = 4/3 xx 22/7 xx 2.1 xx 2.1 xx 2.1`

V = 4 × 22 × 0.1 × 2.1 × 2.1

V = 88 × 0.441

V = 38.808 cm³