Question

MEDAL

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

Volume of the cylinder: 3.14 x r^2 x 3 = 150.72

Volume of cone: 1/3 x 3.14 x 4^2 x 3 = 50.24

Answer 2

@Hero please help with tthe rest of this:)

Answer 3

@quickstudent please help with the rest of this problem:)

Answer 4

May I help?

Answer 5

yes!:)

Answer 6

Thank you.

Answer 7

np..i did the volume of both, but don;t really understand what there is to compare

Answer 8

I think this would help you.

Answer 9

We know that the volume of the cone is one third of the vo,ume of the cylinder having the same base area and height.

You can use this fact to compare "this cone's volume" with "this cylinder's one"

Answer 10

@milo123

Answer 11

sorry .. i'm here my computer was being slow

Answer 12

No problem.

Answer 13

ok thats a good one.

Answer 14

Great!!
so What did you get?

Answer 15

@milo123

reach something!?

Answer 16

Volume of a cylinder = PI * r^2 * height
Volume of a cone = (PI * r^2 * height)/3
SO, with equal height and equal radius, a cylinder will have 3 times the volume of a cone.

Answer 17

Cylinder height = 3 inches
Cone height = 18 inches
Cone is 6 times higher than cylinder (radius is the same).
Is that enough help?