Posted by **B.B.** on Sunday, September 6, 2009 at 11:37am.

What is the ratio of the surface area for a pair of similar cylinders when the ratio of the heights is 1:3?

A) 1:4 B) 1:27 C) 1:9 D) 1:1

My answer is C) 1:9. Is this correct? Thanks.

- Math -
**bobpursley**, Sunday, September 6, 2009 at 11:58am
I am not certain what you mean by similar?

Same diameter, different heights?

Same ratio changing height and diameter?

Are you considering surface area to include the ends?

If the same ratio is changing height and diameter is 1:3, then

SA=2PIr^2 + 2PIr(h) and if r and h are increased by three, then SA changes by a factor of nine.

- Math -
**B.B.**, Sunday, September 6, 2009 at 12:19pm
So then the answer is it suppose to be 1:27 or 1:9?

Thanks.

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