A metallic sphere of radius of 12 cm is melted to form spheres of radi

1.	A metallic sphere of radius of 12 cm is melted to form spheres of radius 1.2 cm. How many such spheres are formed?1. 15002. 10003. 5004. 750
Answer» Correct Answer - Option 2 : 1000 Given Radius of sphere= 12 I'm Formula used Volume of sphere = (4/3)πr³ Where r is radius of sphere Calculation Let the number of small sphere formed from large sphere is x Volume of larger sphere = Volume of smaller sphere × number of smaller spheres (4/3)πr³= x × [(4/3)πr³] 12 × 12 × 12 = x × (1.2) × (1.2) × (1.2) x = (12 × 12 × 12)/(1.2 × 1.2 × 1/2) x = 1000

A metallic sphere of radius of 12 cm is melted to form spheres of radius 1.2 cm. How many such spheres are formed?1. 15002. 10003. 5004. 750

Answer» Correct Answer - Option 2 : 1000

Given

Radius of sphere= 12 I'm

Formula used

Volume of sphere = (4/3)πr³

Where r is radius of sphere

Calculation

Let the number of small sphere formed from large sphere is x

Volume of larger sphere = Volume of smaller sphere × number of smaller spheres

(4/3)πr³= x × [(4/3)πr³]

12 × 12 × 12 = x × (1.2) × (1.2) × (1.2)

x = (12 × 12 × 12)/(1.2 × 1.2 × 1/2)

x = 1000

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A metallic sphere of radius of 12 cm is melted to form spheres of radius 1.2 cm. How many such spheres are formed?1. 15002. 10003. 5004. 750

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