Question

The diameter of a sphere is 10 cm. This sphere is melted and drawn into a cube. Find the volume of the cube. 
1. (500 π)/3 cm³
2. 500/3 cm³
3. 500 π cm³
4. π/3 cm³

Answer 1

Correct Answer - Option 1 : (500 π)/3 cm³

Given:

Diameter of sphere = 10 cm

Formula Used:

Radius = Diameter/2

Volume of sphere = 4/3πr³ 

Calculation:

Radius = Diameter/2

⇒ Radius = 10/2 = 5 cm

Volume of sphere = (4/3)πr3 

⇒ Volume of sphere = (5)3 × π × (4/3)

⇒ Volume of sphere = (500π)/3 cm3 

Volume of sphere = Volume of cube

∴ The volume of cube is (500π)/3 cm3