SOLUTION: we have a cylinder with a base area of 48 ftsquare and a height of 12yrds, what is the surface area of the cylinder?

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Question 728332: we have a cylinder with a base area of 48 ftsquare and a height of 12yrds, what is the surface area of the cylinder?
Answer by fcabanski(1391) About Me  (Show Source):
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Surface area is the area of the top and bottom base (48 + 48 = 96 square feet) plus the surface area of the cylinder's body (the lateral area).


First make sure all units are the same. Convert 12 yards into 36 feet.


The lateral area of a cylinder is the circumference of the base x the height.


Circumference of the base is the circumference of a circle which is 2 * pi * r


Find radius using the formula for area A+=+48+=+pi%2Ar%5E2


Solve for r: 48%2Fpi+=+r%5E2 and sqrt%2848%2Fpi%29+=+r


So the lateral area is 2%2Api%2Asqrt%2848%2Fpi%29+%2A+36 = approximately 884.1543


And the surface area is 96+%2B+2%2Api%2Asqrt%2848%2Fpi%29+%2A+36 = appox. 980.154

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