Question

If the radius of cone is doubled and height is halved then its volume will be

Answer 1

Step-by-step explanation:

volume is doubled............

.

Answer 2

Given:

We have given  radius of the cone is given as doubled and height is halved.

To Find:

We have to find the volume of the cone?

Step-by-step explanation:

• Let the radius of the cone be r and the also height of the cone be h
• We know the volume of the cone is given as the

       $Volume=\frac{1}{3} \pi r^2h$

• Now, we have  to given in the question radius of cone is doubled and height is halved we can get the result.
• The radius of the cone will of new conw is  2r.
• height of the cone will halved.

• We will put these values in the formula of the volume.

        $\textrm{Volume of new cone}=\frac{1}{3} \pi (2r)^2\frac{h}{2}$

• Now we will simply the above equation by opening and multiplying or dividing the terms we get.

       $\textrm{Volume of new cone}=\frac{1}{3} \pi 4r^2\frac{h}{2}$

• Now multiply the terms of the denominator.

       $\textrm{Volume of new cone}=\frac{1}{6} \pi 4r^2h=\frac{2}{3} \pi r^2h$

Hence the volume of the cone will be $\frac{2}{3} \pi r^2h$