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

@asc.bchs

Answer 2

First I would find the volume of each. With stuff like this you can just use google or a calculator. The cone's volume is about 301.59. The cylinder is 150.8.

Round them both to make it easier, and then find the ratio of cone to cylinder.
300 to 150 is simplified to 2 to 1.

The cone is _____ the volume of the cylinder, and the cylinder is ____ the volume of the cone.

Can you complete those sentences?

Answer 3

the first one is double

Answer 4

Yep!

Answer 5

and the second one is half

Answer 6

That's right. The first part and the second part of the sentence are the same, so you could say the cone is double the volume of the cylinder, or you could say the cylinder is half the volume of the cone.

Answer 7

ok sweet thx I have 2 more is that ok?

Answer 8

Yeah, i might only be able to do one more cuz im in class and the period is about to end but go ahead

Answer 9

ok