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  • If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.

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

If the radius of a right circular cone is halved and  height is doubled, the volume will remain unchanged.

 

Answers (1)

Answer : False

We know that Volume of a cone =\frac{1}{3}\pi r^{2}h  (where r is the radius and h is height)

Now as radius of a right circular cone is halved and  height is doubled,

Then new volume=\frac{1}{3}\pi \left ( \frac{r}{2} \right )^{2}.2h=\frac{1}{2}\left ( \frac{1}{3}\pi r^{2}h \right )

                                                               =\frac{1}{2} (original volume of cone )

Thus the statement is false.

 

 

Posted by

infoexpert23

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