Question

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 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.

Answer 1

I WILL MEDAL!!! i just need someone to show me steps on solving it because i almost have it solved but not quite

Answer 2

Volume of cylinder:\[V=\pi r^{2}h\]
Volume of cone: \[V=\pi r^{2} {h/3}\]

Answer 3

this is what i have for my cylinder volume. cylinder v: 1/3*3.14*64*3=198.95

Answer 4

idk if its right

Answer 5

\[Radius=diameter/2\]

Answer 6

Cylinder:
\[V=(3.14)(4)^{2}(3)\]

Answer 7

3.14*4*4*3=150.72. am i right?

Answer 8

Cone:
\[V=(3.14)(4)^{2}(18)(1/3)\]

Answer 9

That's correct.

Answer 10

so for the cone V its, 3.14*4*4*18*0.33=298.42. correct?

Answer 11

Correct.

Answer 12

so what next?

Answer 13

is that all?

Answer 14

@chrismoon

Answer 15

The relationship is that the volume of the cylinder is about half of the volume of the cone.

Answer 16

is that all i have to do?

Answer 17

@chrismoon thank you and i gave you a medal.

Answer 18

also sorry for rushing i just got to get this done.

Answer 19

I'd say that's all you have to do. The question doesn't ask you to do anything else..

Answer 20

nope!