Find the number of small spherical balls of radius 0.3 m made from a l

1.	Find the number of small spherical balls of radius 0.3 m made from a large spherical ball of radius 6 m.1. 60002. 90003. 80004. 4000
Answer» Correct Answer - Option 3 : 8000 Given: Radius of small spherical ball = 0.3 m Radius of large spherical ball = 6 m Formula used: If r be the radius of the sphere then the volume of sphere = (4/3)π × r³ Calculation: Volume of sphere = (4/3)π × r³ Volume of large sphere = (4/3)π × (6)³ ⇒ Volume of large sphere = (4π × 216)/3 ⇒ 288π Volume of small sphere = (4/3)π × (0.3)³ ⇒ Volume of small sphere = (4π × 0.027)/3 ⇒ 0.036π Number of small balls = (Volume of large sphere)/(Volume of small sphere) ⇒ (288π)/(0.036π) ⇒ 8000 balls ∴ Number of small ball is 8000 balls.

Find the number of small spherical balls of radius 0.3 m made from a large spherical ball of radius 6 m.1. 60002. 90003. 80004. 4000

Answer» Correct Answer - Option 3 : 8000

Given:

Radius of small spherical ball = 0.3 m

Radius of large spherical ball = 6 m

Formula used:

If r be the radius of the sphere then the volume of sphere = (4/3)π × r³

Calculation:

Volume of sphere = (4/3)π × r³

Volume of large sphere = (4/3)π × (6)³

⇒ Volume of large sphere = (4π × 216)/3

⇒ 288π

Volume of small sphere = (4/3)π × (0.3)³

⇒ Volume of small sphere = (4π × 0.027)/3

⇒ 0.036π

Number of small balls = (Volume of large sphere)/(Volume of small sphere)

⇒ (288π)/(0.036π)

⇒ 8000 balls

∴ Number of small ball is 8000 balls.

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