The cylinders are similar. The volume of the larger cylinder is 1600 cubic centimeters. What is the volume of the smaller cylinder?

A. 15 cm^3
B. 25 cm^3
C. 14 cm^3
D. 11 cm^3

The cylinders are similar The volume of the larger cylinder is 1600 cubic centimeters What is the volume of the smaller cylinder A 15 cm3 B 25 cm3 C 14 cm3 D 1 class=

Respuesta :

ratio lengths = 16/4 =4/1

ratio volumes = (ratio lengths)³
ratio volumes = V(larger)/V(smaller)

 V(larger)/V(smaller)=(ratio lengths)³
 1600/V(smaller)=4³/1
V(smaller)=1600/4³=25 cm³

Answer: B. 25 cm³