Question

The height and radius of a cone are each multiplied by 11. What effect does this have on the volume of the cone?

Answer 1

The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331

The volume of the cone can be calculated by the given formula:

                       The volume of cone = $\frac{1}{3} \pi r^{2} h$

where r = radius of the cone

           h = height of the cone

Solution:

The volume of the original cone= .......1

It is given that the height and radius of a cone are multiplied by 11.

then volume

= $\frac{1}{3} \pi (11r)^{2} (11h)$

= $\frac{1}{3} \pi (121r^{2}) (11h)$ .........2

The change in volume of the cone after multiplying 11 to r and h would be

dividing equation 2 by equation 1

=  $\frac{1}{3} \pi (121r^{2}) (11h)$/$\frac{1}{3} \pi r^{2} h$

= 121*11

= 1331

Thus, The volume of the original cone is multiplied by 1331

Learn more about the volume of the cone:

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