7. Isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters. Jason constructed a cone that has the same height and the same radius as Isabella's cylinder. What is the valume of Jason's cone?

To determine the volume of Jason's cone, we can use the relationship between the volumes of a cylinder and a cone with the same radius and height. 1. **Volume of a Cylinder:** \[ V_{\text{cylinder}} = \pi r^2 h \] Given that Isabella's cylinder has a volume of 63 cubic centimeters: \[ 63 = \pi r^2 h \] 2. **Volume of a Cone:** \[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \] Since Jason's cone has the same radius and height as Isabella's cylinder, we can substitute the volume of the cylinder into the cone's volume formula: \[ V_{\text{cone}} = \frac{1}{3} \times 63 = 21 \text{ cubic centimeters} \] **Answer:** The volume of Jason's cone is 21 cm³.