A local artist creates a piece with two glass cylinders filled with colored water. The second cylinder has the same radius but is 1/2 tall as the first cylinder. What is the relationship between the volume of the first cylinder and the second cylinder?

enter image source here

1 Answer
Mar 19, 2018

Third Option down.

Explanation:

.

The formula for the volume of a cylinder is:

#V_("Cylinder")=Area_(Base)*Height=pir^2h#

#V_1=pir^2h_1#

#V_2=pir^2h_2#

#h_1=2h_2#

#V_1=2pir^2h_2#

#V_2=pir^2h_2#

#V_1/V_2=2#

#V_1=2V_2#