If the radius of a cylinder increases by a factor of 8, by what factor does the volume increase

Factor of 64.

Step-by-step explanation:

Volume of cylinder:  V = πr²h, where V is the volume, r is the radius and h is the length or height.

Now supposing that we multiply the radius by 8.  How does the cylinder volume compare to the original volume?

Original volume:  V = πr²h

New volume:      V = π(8r)²h = 64πr²h

So the volume increases by a factor of 64.

yes

step-by-step explanation:

1/800 is the right answer