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June HS Question 1

 
 
FangJeffrey的头像
June HS Question 1
FangJeffrey 发表于 2018年06月10日 Sunday 21:45
 

This solution assumes the radius of the cylinder to be 1, but, when someone takes this as x, there is an x^3 in the volume and an x^2 in the surface area. These are both equal to 1 in the example given, but, wouldn't this ration change as the dimensions change?

 
ReynosoDavid的头像
Re: June HS Question 1
ReynosoDavid 发表于 2018年06月11日 Monday 12:04
 

Hey Jeffrey!

You are correct, if the radius of the cylinder is $x$, the volume would change by a factor of $x^3$ and the surface area by a factor of $x^2$, thus the ratio of those would change by a factor of $x$. We will update the scores so that question does not count towards the final score. Thanks for letting us know!