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Mathematics 14 Online
OpenStudy (milo123):

CHECK THIS!! I WILL MEDAL

OpenStudy (milo123):

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. __________________________________________________ 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 18 = 301.44 The volume of the cylinder is 1/2 of the volume of the cone, having the same diameter, but different height. This means that with equal height and equal radius/diameter, the cone will have 2 times the volume of the cylinder.

OpenStudy (milo123):

@hartnn please please please just check this!!! :)

OpenStudy (awesomedude2078):

1.) is correct

OpenStudy (milo123):

wdym? it's all one problem lol

OpenStudy (awesomedude2078):

area of a cylinder is correct volume of a cone is wrong

OpenStudy (milo123):

how? 1/3 x 3.14 x 4^2 x 18 = 301.44

hartnn (hartnn):

"This means that with equal height and equal radius/diameter, the cone will have 2 times the volume of the cylinder. " This is not correct. With equal height and radius, the volume of cone is infact 1/3rd that of cylinder.

OpenStudy (milo123):

wait a minute...how is it 1/3 though?

hartnn (hartnn):

VOlume of cylinder = 1/3 pi r^2 h = 1/3 Volume of cylinder.

OpenStudy (awesomedude2078):

V=π x r^2 x h/3

hartnn (hartnn):

Its because the height is 6 times, that why volume of *this* cone is twice that of the cylinder

hartnn (hartnn):

****Volume of cone = 1/3 pi r^2 h = 1/3 Volume of cylinder.

OpenStudy (milo123):

but i have the volume calculated right?

hartnn (hartnn):

yes, good

hartnn (hartnn):

Volume of the cylinder: 3.14 x 4^2 x 3 = 150.72

OpenStudy (milo123):

thanks

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