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>
A
Step-by-step explanation:
you can notice that at step 2 9 is added on both sides that is the addition property of equality
Y - y1 = m(x - x1)
slope(m) = -3
(2,-1)...x1 = 2 and y1 = -1
now we sub....pay attention to ur signs
y - (-1) = -3(x - 2)....not done yet
y + 1 = -3(x - 2) <===
Answer:
Step-by-step explanation:
