(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.

Respuesta :

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!