A 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.

Question

A 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.

anonymous · Answer

$$v=\pi r^2h$$

blackops2luvr · Answer

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blackops2luvr · Answer

Oops, it lagged and it chose the wrong ones, let me get the right ones, i just need it to load more.

isaiah.feynman · Answer

Archimedes showed that for such a situation where a cylinder and cone have the same height and diameter, the volume of the cone is only 1/3 the cylinder's volume. |dw:1418680889407:dw|