All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #52 : Solid Geometry
What is the surface area of a cylinder of height in, with a radius of
in?
Possible Answers:
Correct answer:
Explanation:
Recall that to find the surface area of a cylinder, you need to find the surface area of its two bases and then the surface area of its "outer face." The first two are very easy since they are circles. The equation for one base is:
For our problem, this is:
You need to double this for the two bases:
The area of the "outer face" is a little bit trickier, but it is not impossible. It is actually a rectangle that has the height of the cylinder and a width equal to the circumference of the base; therefore, it is:
For our problem, this is:
Therefore, the total surface area is:
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All ISEE Upper Level Quantitative Resources
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