What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.A. The cone has the greater volume.B. The cone and cylinder have the same base area.C. The volume of the cone is 1/3 the volume of the cylinder.D. The cylinder can fit inside the cone.E. The cone and cylinder have the same diameter.

Answer:[tex]\text{volume of cone=}\frac{1}{3}\text{volume of cylinder}[/tex]Step-by-step explanation:We have to choose the correct statement about the volume of cone and cylinder with same height and radius.Let r and h be the radius and height of cylinder and cone [tex]\text{Volume of cone=}\frac{1}{3}\pi r^2h[/tex] ....(1)[tex]\text{Volume of cylinder=}\pi r^2 h[/tex]   ...... (2)[tex]\frac{\text{Volume of cone}}{\text{Volume of cylinder}}=\frac{\frac{1}{3}\pi r^2h}{\pi r^2 h}[/tex][tex]\frac{\text{Volume of cone}}{\text{Volume of cylinder}}=\frac{1}{3}[/tex][tex]\text{volume of cone=}\frac{1}{3}\text{volume of cylinder}[/tex]Option C is correct