ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.3 in Chapter 17 - Mensuration

Question 19 Mensuration Exercise 17.3

Write whether the following statements are true or false. Justify your answer :

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.



The amount of space a sphere can occupy is determined by its volume. The three-dimensional shape of a spherical excludes vertices and edges. 

Let the radius of sphere be r.

Then height of the cylinder, h = 2r

Radius of cylinder = r

Volume of cylinder = π r2h

= π r2×2r

= 2π r3

Volume of sphere = (4/3)π r3

= (2/3)× 2π r3

= (2/3)× Volume of cylinder

Hence the given statement is true. M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Mensuration Question 19 Solution image

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