Question

What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.

Answer 1

The Formula's for a cylinder is V=$\pi$r^2h and the volume of a Cone is V=1/3$\pi$r^2h. So you would know that the volume of a cone is 1/3 the volume of a cylinder.

Answer 2

Answer:

$\text{volume of cone=}\frac{1}{3}\text{volume of cylinder}$

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

$\text{Volume of cone=}\frac{1}{3}\pi r^2h$ ....(1)

$\text{Volume of cylinder=}\pi r^2 h$   ...... (2)

$\frac{\text{Volume of cone}}{\text{Volume of cylinder}}=\frac{\frac{1}{3}\pi r^2h}{\pi r^2 h}$

$\frac{\text{Volume of cone}}{\text{Volume of cylinder}}=\frac{1}{3}$

$\text{volume of cone=}\frac{1}{3}\text{volume of cylinder}$

Option C is correct