From a cube of side 6 cm, a hemisphere of maximum volume is scooped out. What is the remaining volume?

Correct option is B

Given:

Side of cube = 6 cm.

Formula used:

Volume of cube = a³

Volume of hemisphere = $$\frac{2}{3} πr^3$$​

Solution:

Side of cube a = 6 cm

Radius of hemisphere r = 6/2= 3 cm

Volume of cube = a³ = 6³ = 216 cm³

Volume of hemisphere = $$\frac{2}{3} πr^3$$​

= $$\frac{2}{3} π(3)^3$$​

= $$\frac{2}{3}$$​×π×27

 = 2×π×9

 = 18π

Therefore, the remaining volume = 216 – 18π cm³