So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer: B) neither Jenna and Mike are correct.
Step-by-step explanation: If you calculate the distance between points B and A, then the points that Mike and Jenna gave, all of the sides would be different.
Answer : X^2+6x+9
(X+3)(x+3)
To answer this question we can propose the following equation:
![d=750 -x(67)](https://tex.z-dn.net/?f=d%3D750%20-x%2867%29)
Where:
x is the number of weeks elapsed.
d is the debt depending on the weeks.
Robert promised to pay at least $ 67 each week.
Therefore, after 5 weeks the debt of rober should be:
![d\leq750-5*67](https://tex.z-dn.net/?f=d%5Cleq750-5%2A67)
![d\leq415](https://tex.z-dn.net/?f=d%5Cleq415)
Then scenario A) is possible because
.
After 6 weeks:
![d\leq750-6*67](https://tex.z-dn.net/?f=d%5Cleq750-6%2A67)
![d\leq348](https://tex.z-dn.net/?f=d%5Cleq348)
Then scenario B) is possible because
.
After 7 weeks
![d\leq750-7*67](https://tex.z-dn.net/?f=d%5Cleq750-7%2A67)
![d\leq281](https://tex.z-dn.net/?f=d%5Cleq281)
Then scenario C) is possible because
.
After 8 weeks
![d\leq750-8*67](https://tex.z-dn.net/?f=d%5Cleq750-8%2A67)
![d\leq214](https://tex.z-dn.net/?f=d%5Cleq214)
So scenario D) is NOT possible because ![300>214](https://tex.z-dn.net/?f=300%3E214)
Finally the correct answer is option D.