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>
They will be 400 miles apart in 4 hours.
Answer:
4
Step-by-step explanation:
17-5=12/3=4 so yeah that is all you need to know
Answer:
2008
Step-by-step explanation:
M = 48.81t + 304.30
M = 694.78 Solve for t
694.78 = 48.81t + 304.30 Subtract 304.30 from each side
390.48 = 48.81t Divide each side by 48.81
t = 390.48/48.81
t = 8.00 yr
=====
Year = 2000 + t
Year = 2000 + 8.00
Year = 2008
Military spending hit $694.78 billion at the end of 2008.
Are u trying to solve the equations as a system of equations cause if you are the point where they are equal is when x=-(3+/-(sqrt 55))/2