Question

How many times larger is the volume of a cone if the radius is multiplied by 6?

Answer 1

36 times larger.

Explanation:

V=
`\pi *r^(2)*(h)/(3)` is the original volume of a cone formula.

If the radius is multiplied by 6 the new formula is:

V=
`\pi *(6x)^(2) * (4)/(3)`

Which is simplified to:

V=
`\pi *36r^2*(h)/(3)`

The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.