Question 9125: A tuna can has a diameter of about 8cm. and a height of about 3 cm.what is the volume of the tuna can? (the answers are.......150.72cm, 75.36cm, 602.93cm,or none of these) P.S. each of the problems have a little 3 at the top right corner I just couldn't find a key for that button.
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! a length has unit such as cm or inch or km or mile or yard or meter.
An area is 2 lengths multiplied together, producing a 2-D space... their units echo this multiplication and an area is quoted as cm^2 or inch^2 or km^2 etc
A volume is 3 lengths multiplied together, producing a 3-D space... their units, again, exho this, so that a volume would have units of cm^3 or inch^3 or km^3 etc.
the can is a regular shape...a cylinder. The volume of ANY regulat shape is given by the formula (cross-sectional area)*(length)
Now a cylinder (... the can) has a cross-section of a circle, whose are is  where r is the radius.
so the volume of the can = 
So, put the values in, from the question
volume =  ...the diameter is 8cm, so the radius is 4cm
volume = 
volume = 
work this out on your calculator. Whatever your answer, you have just calculated a volume, whose 3 "lengths" were all cm, so its unit is  .
jon.
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