RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 27 of Exercise 21.2

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27

The largest sphere is carved out of a cube of side 10.5 cm. Find the ratio of their volumes.

Largest sphere that can be carved out of a cube will have its diameter as the side of the cube.


Radius of the largest sphere carved out of a cube of side 10.5 cm = 10.5/2 = 5.25 cm


Volume of a cube = side3


Volume of a sphere = (4/3)πr3


Ratio of their volumes


27

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