Answer:
a.
b.
E of first can =
E of second can =
c. Yes
Step-by-step explanation:
The efficiency ratio is:
E = Surface Area / Volume
a.
We can write:
Where
S is surface area of cylinder
V is volume of cylinder
The formulas are:
S =
V =
So, the <u>efficiency ratio (E) </u>is:
b.
The first can has radius "r" and height "h", so the efficiency ratio is:
The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:
c.
We now need to say if the company made a good decision or not.
If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.
The first can has "2h"
The second can has "h"
The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.
We need smaller ratio.
So, 2nd can has indeed smaller ratio, so the company made a good decision.