The volume of a solid cylinder is .
Show that the total surface area, , is where r>0.
Anyway if anybody could please help me with this question I will be eternally grateful!
Volume of a cylinder:
Surface area of a cylinder:
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In your case:
Rearrange to make the subject (because it will need to be eliminated):
Sub the above expression for h into the equation for A at the top of the post and simplify