(Will give brainliest if correct. Keep it simple)
cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches. Use π = 3.14. What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

Okay, so the ratio is 3:2 (cylinder to cone)

The equation for finding the volume of a cylinder is V=pi*r^2*h (h stands for height)

We plug in the values: V=3.14*4*4*9

This equals 452.16.

Next, the cone. It’s formula is: V=pi*r^2*h/3

Plugging in the values we get: V=3.14*4*4*18/3 (simplifying to 6)

Solving we get: 301.44.

When we divide 301.44 by 2 we get 150.72
(I originally divided 452.16/301.44 to find the scale factor) Now we multiply 150.72 by 3 to get 452.16, and we already know that 150.72 times 2 equals 301.44. So the ratio is 3:2.

I hope this helps!