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  • 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.

Direction: Write True or False and justify your answer in each of the following :

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.

Answers (1)

Answer: True

We know that volume of the sphere =\frac{4}{3}\pi r^{3}        (where r is the radius)

And Volume of cylinder =\pi R^{2}h                          (where R is the radius and h is height)

It is given that height and diameter of cylinder are equal to the diameter of the sphere

(So, radius of cylinder = r and h = 2r)

So, Volume of cylinder =\pi r^{2}.2r

Volume of sphere=\frac{4}{3}\pi r^{3}=\frac{2}{3}\pi r^{2}\left ( 2r \right )=\frac{2}{3} volume of cylinder

Therefore the given statement is True.

Posted by

infoexpert23

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