volume_mute
Volume Relationship: Cylinder vs Cone
publish date: 2026/05/18 20:42:21.640211 UTC
Complete the statement describing the relationship between a cone and a cylinder that share the identical base radius (\(r\)) and height (\(h\)).
The volume of the cylinder is exactly (1) times the volume of the cone.
Correct Answer
(1) 3
Explanation
Because a cone's volume formula is \(V_{\text{cone}} = \frac{1}{3}\pi r^2 h\) and a cylinder's volume is \(V_{\text{cylinder}} = \pi r^2 h\), it takes exactly three cones to fill a cylinder of matching dimensions.
Reference
go-math-science.com