Subject Test Math 2

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Subject Test Math 2

Question 7 of 28

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

View Correct Answer

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:

$3^{2} + 6^{2} = {A B}^{2}$

$45 = {A B}^{2}$

$3 \sqrt{5} = A B$

The correct answer is (B).

Question Difficulty:

medium

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Subject Test Math 2

Question 7 of 28

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View Correct Answer