Question

Franco wants to double the volume of the cone. What should he do?

Answer 1

Explanation:

Double the height that’s the answer

Answer 2

If Franco wants to double the volume, he must multiply the radius and height of the original cone by
`\sqrt[3]{2}`

Explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger cone

y----> the volume of the original cone

so

`z^(3)=(x)/(y)`

we have

`x=2V\ units^(3)`

`y=V\ units^(3)`

substitute and solve for the scale factor

`z^(3)=(2V)/(V)=2`

`z=\sqrt[3]{2}` ------> the scale factor

If Franco wants to double the volume, he must multiply the radius and height of the original cone by
`\sqrt[3]{2}`