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.
Scale factor k satisfies k^3 = 1/8, so k = cube root(1/8) = 1/2.

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