What is the value of the ratio of the surface area to the volume of the cylinder?

2/3

Step-by-step explanation:

Surface area is ...

... S = 2πr² + 2πrh = 2πr(r+h)

Volume is ...

... V = πr²h

Then the ratio of surface area to volume is ...

... S/V = (2πr(r+h))/(πr²h) = 2(r+h)/(rh)

For r= 4 and h=12, this ratio is

... S/V = 2(4 +12)/(4·12) = 2/3

Comment on this ratio

Unlike many ratios, this ratio is not a pure number. It has units of 1/ft. That means the ratio would be different if the dimensions of the cylinder were expressed in different units. If the dimensions were in inches, for example, the ratio would be 1/18 per inch.

i would say b) is your answer

sorry if im wrong

step-by-step explanation:

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;