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Subject Test Math 2

Question 7 of 28

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SAT Subject Test

A right circular cylinder has radius 3 and height 3. If A and B are two points on its surface, what is the maximum possible straight-line distance between A and B?

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3 square root of 6

Correct Answer: 
No

3 square root of 5

Correct Answer: 
Yes

6

Correct Answer: 
No

3 square root of 3

Correct Answer: 
No

3 square root of 2

Correct Answer: 
No

The maximum possible distance occurs when A and B are on the circumference of opposite bases:

The figure shows a right cylinder with horizontal bases of radius 3 and height 3. A point at the edge of the base on the top is labeled A, and a point  at the edge of the base at the bottom is labeled B.

You can use the Pythagorean Theorem:

                                        3 to the power of 2 end exponent plus 6 to the power of 2 end exponent equals A B to the power of 2 end exponent

                                        45 equals A B to the power of 2 end exponent

                                        3 square root of 5 end root equals A B

The correct answer is (B).

Question Difficulty: 
medium