Question

question 29 of 50 if a cone and cylinder have the same height and their bases have the same radius, their volumes are equal. false true

Explanation:

Step1: Recall Volume Formulas

The volume of a cylinder is $V_{cylinder} = \pi r^2 h$, and the volume of a cone is $V_{cone} = \frac{1}{3}\pi r^2 h$, where $r$ is the radius and $h$ is the height.

Step2: Compare Volumes

Given the cone and cylinder have the same $r$ and $h$. Substitute into formulas: $V_{cylinder} = \pi r^2 h$, $V_{cone} = \frac{1}{3}\pi r^2 h$. So $V_{cone} = \frac{1}{3}V_{cylinder}$, meaning volumes are not equal.

Answer:

False