SOLUTION: Describe how tripling the radius affects the surface area of the right cylinder. r=2 yd h=7yd

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Question 1163506: Describe how tripling the radius affects the surface area of the right cylinder.
r=2 yd
h=7yd
Found 3 solutions by ikleyn, solver91311, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Why don't you use the formula for a cylinder surface area from any textbook,

substitute the given values into the formula and calculate ?

And then describe the results using your own words ?


WHY THE TUTORS SHOULD DO YOUR JOB ?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Lateral Surface Area:







So tripling the radius triples the lateral surface area. Total surface area is another story altogether. Since you didn't bother to specify which one you meant, I get to chose which one I answer.


John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Tutor @ikleyn is right in saying that you can answer the problem by plugging the given numbers into the formula. You shouldn't need our help to do that.

On the other hand, the problem asks you to DESCRIBE how tripling the radius affects the surface area. For that question, you should note that

(a) tripling the radius multiplies the top and bottom surface areas by 9, because the formula for the area of the top and bottom surfaces, A+=+%28pi%29r%5E2, involves the square of the radius.

(b) tripling the radius multiplies the lateral surface area by 3, because the formula for the lateral surface area, A+=+2%28pi%29rh, only involves the radius to the first power.