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RD Sharma Solutions Class 9 Mathematics Solutions for Surface Area And Volume Of Sphere Exercise 21.2 in Chapter 21 - Surface Area And Volume Of Sphere
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A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.
Answer:
Radius of a sphere (R)= 4 cm (Given)
Height of the cylinder = 2/3 diameter (given)
We know, Diameter = 2(Radius)
Let h be the height and r be the base radius of a cylinder, then h = 2/3× (2r) = 4r/3
Volume of the cylinder = Volume of the sphere 
or r = 4
Therefore, radius of the base of the cylinder is 4 cm.
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