Posted by Sara on Friday, April 15, 2011 at 2:27am.
Is it possible to find an example of a bounded region in the x, y plane that satisfies the following condition : when you revolve the region about the x axis you obtain a solid that has a volume equals its surface area

calculus  bobpursley, Friday, April 15, 2011 at 7:17am
volume is in length^3 units, surface area is in lenght^2 units.
So no, it is not possible to equate those. Area cannot be equal to volume.
45cm^2=? 45cm^3
1=?cm No, cm cannot be unitless
Now, I assume your teacher is not considering units...just asking if the numerals can equal.
Yes, if one does not care about units, they can be "equaled", whatever that means.
It really is a stupid question, perhaps your teacher was not thinking.

calculus  Sara, Friday, April 15, 2011 at 9:01am
yes he does not care about the unit he just want the value using integration
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