RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 8 of Exercise 21.2

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8

A sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises cm. Find the radius of the cylinder.

Volume of a sphere = (4/3)πr3


Volume of a cylinder = πr2h


Let the radius of the cylinder be r cm.


Given, sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises cm


Volume of the sphere = Volume of the water in the cylinder.


×53 = π × r2 ×


r2 = 4×52


r = 10 cm


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