Question

Two similar cylinders have volumes of 512 in^3, 64 in^3, and 64 in^3, 512 in^3. By comparing volume, what is the scale factor of the small cylinder to the larger cylinder? The scale factor of the small cylinder to the larger cylinder is _.

Answer 1

Volume ratio = 64/512 = 1/8. Linear scale factor = cube root of 1/8 = 1/2.

So the small-to-large scale factor is 1/2 (or 1:2).