The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume of the larger cylinder.

volume = 1809 cm³

Step-by-step explanation:

The ratio of the height of two similar cylinder is 1:3. The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:

If 2 object are similar and the ratio of the corresponding sides is x, then the ratio of their volume is x³.

ratio of height = 1/3

ratio of volume = (1/3) ³ = 1/27

volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x

where

x = volume of the larger cylinder

x = 27 * 67

x = 1809 cm³

volume = 1809 cm³