Write whether the following statements are true or false Justify your answer The volume of a sphere ...

Question

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.

Accepted Answer

Solution The amount of space a sphere can occupy is determined by its volume The threedimensional 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 rsup2suph rsup2sup2r 2 rsup3sup Volume of sphere 43 rsup3sup 23 2 rsup3sup 23 Volume of cylinder Hence the given statement is true

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