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.

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.

nikki_skellington · Answer

@Vocaloid?

vocaloid · Answer

start by finding the radius of the cone and cylinder

radius = (1/2) * diameter = ?

nikki_skellington · Answer

it would be 4

vocaloid · Answer

good, now let's find the volume of the cone

vocaloid · Answer

volume = (1/3) * pi * radius^2 * height = ?

nikki_skellington · Answer

i got 96 pi

vocaloid · Answer

good

now let's find the volume of the cylinder

vocaloid · Answer

volume = pi * radius^2 * height = ?

nikki_skellington · Answer

48pi?

vocaloid · Answer

good!

so if the volume of the cone is 96pi and the volume of the cylinder is 48 pi

that means the volume of the cone is 2 times the volume of the cylinder

and that's your answer !

nikki_skellington · Answer

thank you so much!

vocaloid · Answer

just as a side note, they want you to use 3.14 for pi

vocaloid · Answer

so you would just write the volumes as 96 * 3.14 = 301.44 inches cubed for the cone and 150.72 for the cylinder

vocaloid · Answer

everything else we said before is the same though

nikki_skellington · Answer

ok thanks.