SSC CGL 2022 PYQ — Question 70

The correct answer is Option 3 i.e. 38.80 cm³

Given:

Length of cube = 4.2 cm

Concept USed:

If a sphere is taken out of a cube, side of cube = diameter of sphere

Volume of sphere = ${4 \over 3} \pi r^3$ 

Explanation:

Let the radius of sphere be r.

Now diameter of sphere = side of cube 

⇒ diameter of sphere = 4.2 ⇒ r = diameter/2 = 2.1 cm

Now, volume of sphere = ${4 \over 3} \times {22 \over 7} \times (2.1)^3$ = 38.80 

Hence the volume of the sphere is 38.80 cm³.