This question is from r d sharma class 10 maths.

I found this question while doing maths class 10. I need help in getting the solution.

In this question we have to find the number of cones so formed from a solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm.

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# A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.

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Given,

Radius of metallic sphere = R = 10.5 cm

So, its volume = 4/3 Ï€R3 = 4/3 Ï€(10.5)3

We also have,

Radius of each cone = r = 3.5 cm

Height of each cone = h = 3 cm

And, its volume = 1/3 Ï€r2h = 1/3 Ï€(3.5)2(3)

Thus,

The number of cones = Volume of metallic sphere/ Volume of each cone

= 4/3 Ï€(10.5)3 / 1/3 Ï€(3.5)2(3)

= 126