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>
1 and 4,2 and 3 are the alternate interior angles
Tbh i dont really remember how to this this but the only way i could think of solving it is saying how a spuare/rectangle have all equal sides so if they have all equal sides you can divide that number by 4 so 4/30=7.5 so i would say x = 7.5 tell me if its wrong
~ Good Luck :D ~
The answer is C, i did this
Answer:
D. Vertical Angle is the correct answer
