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

first option.

Step-by-step 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:

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:

b is the correct answer