Question

The volume (in cm³) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

Options

• `4/3 pi`

• `10/3 pi`

• 5π

• `20/3 pi`

Answer 1

`4/3 pi`

Explanation;

Hint:

Radius of the sphere = 1 cm

Volume of the Sphere = `4/3` πr³ cu.units

= `4/3 xx pi xx 1 xx 1 xx 1  "cm"^3`

= `4/3` π cm³