ISEE Upper Level Quantitative : Cylinders

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

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Example Question #5 : How To Find The Surface Area Of A Cylinder

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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