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If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the radius of each such ball is ___________.
1. 1.25 cm
2. 2.5 cm
3. 3.75 cm
4. 5 cm

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Correct Answer - Option 4 : 5 cm

Given:

Radius of a solid sphere = 10 cm

Number of solid spherical balls = 8

Concept Used:

For number of balls we have to equate the volume of all the balls and the solid sphere volume

Formula Used:

Volume of a sphere = (4/3)πr3, here r = Radius of the sphere

Calculation:

Let radius of a solid spherical ball be R cm

(4/3)π(10 cm)3 = 8 × (4/3)πR3 

⇒ R3 = 1000/8

⇒ R3 = 125

⇒ R = 5

Radius of a spherical ball = 5 cm

∴ The radius of each small spherical ball is 5 cm

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