Question

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

Answer 1

Step-by-step explanation:

Double the height that’s the answer

Answer 2

Answer:

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

Step-by-step 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

$z^{3}=\frac{x}{y}$

we have

$x=2V\ units^{3}$

$y=V\ units^{3}$

substitute and solve for the scale factor

$z^{3}=\frac{2V}{V}=2$

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

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