RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 23 of Exercise 21.2

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23

A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.

Volume of a sphere = (4/3)πr3


Volume of a cone = (1/3)πr2h


Given, metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm.


Let the number of cones be ‘n’.


n × (1/3)π × 3.52 × 3 = (4/3) × π × 10.53


n = 126


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