Question

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 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

@iGreen.

Answer 2

plz help

Answer 3

Volume of a cylinder:

\(V = \pi r^2 h\)

\(V = (3.14)(4)^2(5)\)

What's 4 * 4?

Answer 4

16

Answer 5

Yes, and what's 3.14 * 16 * 5?

Answer 6

252.8

Answer 7

Check again

Answer 8

251.5

Answer 9

ok

Answer 10

It's actually 251.2

Volume of a cone:

\(V = \dfrac{1}{3} \pi r^2 h\)

\(V = \dfrac{1}{3} (3.14) (4)^2 (15)\)

What's 1/3 * 3.14 * 16 * 15?

Answer 11

251.2

Answer 12

Yes, they are the same.

Answer 13

So the relationship is that they're the same.

Answer 14

ok

Answer 15

And the volume of a cone is ONE THIRD the volume of a cylinder.

That's what you can say

Answer 16

@ShawnSpencer Got it..?