Question

Two similar cylinders have volumes of 512π in.3
, 64π in.3
, and 64π in.3
,.512π in.3
. By comparing volume, what is the scale factor of the small cylinder to the larger cylinder?(1 point)
The scale factor of the small cylinder to the larger cylinder is $$

Answer 1

Volume ratio = (64π)/(512π) = 64/512 = 1/8. For similar solids, volume scales as k^3, so k = ∛(1/8) = 1/2.

The scale factor (small to large) is 1/2.