Question

Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.

The cylinders are similar. The volume of the larger cylinder is 40,635 cubic centimeters. What is the volume of the smaller cylinder?



1505 cm3


2578 cm3


1145 cm3


2123 cm3

Answer 1

Answer: first option.

Explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This is:

`Volume\ ratio=((6cm)/(18cm))^3\\\\Volume\ ratio=(1)/(27)`

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

`V_(smaller)=(1)/(27)(40,635\ cm^3)\\\\V_(smaller)=1,505\ cm^3`