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 beeternallygrateful!(Nod)

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- Dec 1st 2010, 07:10 AMJoker37surface area/volume of cylinder
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!(Nod) - Dec 1st 2010, 07:27 AMe^(i*pi)
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 - Dec 1st 2010, 09:13 PMJoker37