Question

A cone has a volume of 300 units cubed, and a cylinder has a volume of 100 units squared. Is it possible that the cylinder and the cone have the same height and the same radius?

A) Yes, it's possible.
B) No, it's not possible.
C) Maybe, more information is needed.
D) None of the above.

Answer 1

No, it's not possible for a cone and a cylinder to have the same height and radius while having different volumes.

Step-by-step explanation:

To determine if it is possible for a cone and a cylinder to have the same height and radius while having different volumes, we need to compare their volume formulas. The formula for the volume of a cone is V = 1/3 * π * r² * h, and the formula for the volume of a cylinder is V = π * r² * h. Since the volumes are different, it is not possible for the cone and the cylinder to have the same height and radius.