If the radius of a sphere is 16 cm and is melted and recast into a sph

1.	If the radius of a sphere is 16 cm and is melted and recast into a sphere of radius 4 cm. Then find the number of small spheres that are cast. 1. 162. 323. 484. 64
Answer» Correct Answer - Option 4 : 64 Given: Radius of an original sphere = 16 cm Radius of a recast sphere = 4 cm Formula Used: Volume of a sphere = (4/3)πr³ Number of recast spheres = Volume of the original sphere/Volume of the recast sphere Calculation: Volume of a original sphere = 4/3 π (16)³ Volume of the recast sphere = 4/3 π (4)3 Hence, number of recast spheres = Volume of the original sphere/Volume of the recast sphere ⇒ [(4/3) π (16)³]/[(4/3) π (4)³] = 64 ∴ The number of recast spheres is 64.

If the radius of a sphere is 16 cm and is melted and recast into a sphere of radius 4 cm. Then find the number of small spheres that are cast. 1. 162. 323. 484. 64

Answer» Correct Answer - Option 4 : 64

Given:

Radius of an original sphere = 16 cm

Radius of a recast sphere = 4 cm

Formula Used:

Volume of a sphere = (4/3)πr³

Number of recast spheres = Volume of the original sphere/Volume of the recast sphere

Calculation:

Volume of a original sphere = 4/3 π (16)³

Volume of the recast sphere = 4/3 π (4)3

Hence, number of recast spheres = Volume of the original sphere/Volume of the recast sphere

⇒ [(4/3) π (16)³]/[(4/3) π (4)³] = 64

∴ The number of recast spheres is 64.

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