Open Middle®
Directions: A cone is twice as tall as a cylinder of the same radius. What is the ratio of their volumes?
Hint
How can we use the formulas to compare the values?
Answer
The ratio of cylinder volume to cone volume is 3 to 2.
Source: Dylan Kane
Great question!
You might consider reordering the ratio in the answer.
In this question you write “A cone is…” and then “A cylinder is…” and then ask to find the ratio of their volumes.
However, the answer gives the ratio of a cylinder to a cone.
Plus, if we write the ratio as 2 to 3, that will help teachers recognize that this question is an opportunity to equate two cones with the volume of a sphere.
if we write the ratio as 2 to 3 that will help me understand / recognize that this question is an opportunity to equate two cones with the volume of a sphere