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: 1078m^2
Step-by-step explanation:
ok, so the surface area of a figure is the area of that entire thing so what we are going to do is find the area of every part of this , the area of each base is 17*19. the area of each of the other sides are 6*17 and 6*19.
Answer:
5/6
Step-by-step explanation:
4/6 + 1/6 = 5/6
Answer:
C on the IA#3 I am in GCA to LOL
Step-by-step explanation:
