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Please help me. I am not sure how to find the volume of a cylindrical can, so I don't know how to do this problem
The volume of a cylindrical can is 137.375 in.3. The diameter is 5 in. Find the height. Use = 3.14.
Please help me understand this.
SO what is the exation that you use to find the volume of a cylindrical can?

2007-05-05 08:47:23 · 8 answers · asked by casnaegle 1 in Science & Mathematics Mathematics

thanks all that helped me. So um... one more thing. Does this volume (PI) times r squared times the height only work for cylinderical cans? Or does it work for all cylinderical stuff? I hope that that makes sense.

2007-05-05 09:09:50 · update #1

Oh so cylindrical basically means cylinder right?

2007-05-05 09:12:32 · update #2

Oh so cylindrical basically means cylinder right? (Well I guess I mean that it is a cylinder)

2007-05-05 09:16:11 · update #3

8 answers

volume = pi*r^2*h
so just rearrange the equation:
h = v/(pi*r^2)
h = 137.375/(3.14*2.5^2)
h = 137.375/19.625
h = 7 in

2007-05-05 08:55:27 · answer #1 · answered by iamaspursfanatic 3 · 0 1

Volume of cylinder = 3.14 * Radius^2 * Length
so Length = V / (3.14 * D^2/4) = 137.375 / (3.14 * 5^2/4)
L = 7in

2007-05-05 09:02:13 · answer #2 · answered by Anonymous · 0 0

Divide the area of the base by the volume. The area of the base is 19.625.
1) divide 137.375 by 19.625
2) the height is 7.

you know how the opposite of multiplacation is division. this is true in this case. to get the volume you would do area of the base X height. To find the height you undo the multiplaction.

Us this key to understand the formula below:
aob= area of the base
h= height
v=volume

the formula:
aob X h = V
v divided by aob= h

2007-05-05 09:09:04 · answer #3 · answered by confused 4 · 0 0

The volume of the can is the area of the circle times the height.

The area of the circle is pi*r^2 = 3.14*2.5^2 = 3.14*6.25 = 19.625 sq inches.
So the height is 137.375 cubic in. / 19.625 square in = 7"

The equation of the can is height * pi* radius^2

2007-05-05 08:55:58 · answer #4 · answered by Steve A 7 · 0 0

The equation for the volume of a cylinder is the area of the circular base times the height.... i.e.
V = πr² h

2007-05-05 08:57:58 · answer #5 · answered by gugliamo00 7 · 0 0

The equation:

Volume=Area of the base * the height
V=Bh
V=(3.14*r^2)*h

The diameter is 5, so the radius is half of that, or 2.5.

Substitute:
137.375=(3.14*2.5^2)*h

Multiply:
137.375=(19.625)*h

Divide:
7=h

The height is 7 in.

2007-05-05 09:00:01 · answer #6 · answered by Sakura 3 · 0 1

the volume of a can is its height times the area of its end.

the end area = (pid^2)/4

v=(hpid^2)/4
then
h= v/(pid^2)/4 = 4v/pid^2 =4(137.375)/3.14(5)(5)
h= 7 in

2007-05-05 08:55:45 · answer #7 · answered by bignose68 4 · 0 1

Volume=(3.14)*R*R*H.

2007-05-05 08:54:50 · answer #8 · answered by B K 1 · 0 1

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