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how is volume measured? if u wanted to find the capacity of your soda can, how would you do so? be specific please.

2007-09-17 17:36:54 · 8 answers · asked by Sarah S 3 in Science & Mathematics Mathematics

8 answers

Let r = radius of can in cm
and h = height of can in cm
V = π r ² h cm ³
V = π r ² h ml
Note
1 cm ³ = 1 ml
1000 cm ³ = 1000 ml = 1 litre

2007-09-25 07:00:23 · answer #1 · answered by Como 7 · 0 0

Measuring the volume of a can would not be accurate if done so by calculating its measurements. This is true for two reasons. First, the shape of the can is irregular. It is not a perfect cyclinder. Second, You would need to measure the inside dimensions of the can to calculate its volume more accurately than measuring the outside dimensions to negate the error produced by ignoring the thickness of the can.

Here is a more accurate method.

The volume can be calculated by measuring the weight of the can contents and converting the weight to volume.

1) Weigh an empty can. Say it weighs 25g.
2) Fill it to the top with water.
3) Weigh the full can. Say it weighs 390g.
4) Find the difference. 390g - 25g = 365g.

So, the contents of the can weighs 365g.
Assume the density of water is 1g/ml (which depends on its temperature being 25 deg C, but we will assume that the temperature is 25deg C).

Calculate the volume of the can:

volume = density x weight
v = 1g/ml x 365g = 365ml

You don't need to use water. You can use anything, as long as you know it's density.

2007-09-24 14:43:12 · answer #2 · answered by Larry C 3 · 0 0

volume is all the sides multiplied together. easiest method for soda can is base x height

base is area of a circle, which is pi x radius squared
eg, pi (3.14 x 3cm radius x 3cm radius)

this will give an answer somewhere near 10cm squared for the base

for the volume wemultiply this by the height eg 11cm

10cm squared x 11 cm = 110 cm cubed

measure your can and fill in your own numbers, i only guessed

2007-09-25 17:57:23 · answer #3 · answered by yorkie 6 · 0 0

Volume equations:

Volume of a rectangle: lwh (length multiplied by width multiplied by height)

Volume of a cylinder (this is the one you want to use): Pi times r^2 times h (r = radius, h = height, you can use 3.14 for pi)

Volume of a sphere: 4/3 times pi times r^3 (r = radius)

Hope that helps...

2007-09-22 21:15:47 · answer #4 · answered by Anonymous · 0 0

Volume of a cylinder, right circular.

V = pi X radius squared X height

2007-09-24 13:08:49 · answer #5 · answered by gzlakewood@sbcglobal.net 4 · 0 0

the volume is measured in CC, M^3, litres, Pints, or any ohte unit a volume.

You can calculate the volume of a solid by using solids of revolution

you can check in http://mathworld.wolfram.com/SolidofRevolution.html

you can also use the old formulas for standard figures, like the one for the cilinder

you can check this in

http://en.wikipedia.org/wiki/Volume#Volume_formulae

finally ussing multiple integrals (triple)

you can check something about integration in wikipedia:

http://en.wikipedia.org/wiki/Integral_calculus

however my recomendation is using Tom Apostol Calculus book.

Cheers

2007-09-25 21:45:02 · answer #6 · answered by heavy84 2 · 0 0

V = π *r^2* h since it is a cylinder can.

2007-09-18 01:12:34 · answer #7 · answered by gab BB 6 · 0 0

v = volume, π = pi or 3.14, r = radius, h = height

v = π * r^2 * h

2007-09-24 05:19:28 · answer #8 · answered by Jun Agruda 7 · 2 0

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