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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the defnition of find the surface area of triangular prism and cylinder
surface area of right circular cylinder = 2 pi r h +2 pi r2
BA+LA2(Pi)r2 + 2(Pi)rh
First, find the surface area of the cylinder using the formula SA = pi * diameter * height The surface area of the cylinder will equal the area of the rectangular sheet. So you can then solve for the height of the cylinder, Height = 625cm2 / (pi * 9cm) = 22.1 cm Using the height and diameter of the cylinder we can find the volume with the following formula, Vol = (pi / 4) * (diameter)2 * height Vol = (pi/4)*(9cm)2 * 22.1cm = 1405.9 cm3
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