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The surface area formula for cylinders and prisms is

SA = 2B + l

where B is the area of your base

l is your lateral area which is equal to l=ph where p is the perimeter (or circumference in your case) of the base and h is the altitude

All cylinders have circular bases so the base area b = pi * r^2 where r is the radius of the circle

the formula for circumference is 2*pi*r, where r is again the radius

So, l = 2*pi*r*h

And finally

SA = 2*pi*r^2 + 2*pi*r*h

This can be simplified to

SA = 2*pi*r*(r+h)

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Q: How do you find the surface area of a right cylinder?
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