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>
What do you want help with an equation or something else
Answer:
Pr(blue) = 2/7
Step-by-step explanation:
Blue = 6
White = 7
Gray = 8
Total socks = 6+7+8 =21
Probability of picking blue = number of blue ➗ total number of socks
Pr(blue) = 6/21
Divide both by 3 to make the fraction to the lowest term.
Pr(blue) = 2/7
I hope this was helpful, please mark as brainliest
Answer:
There is no graph.
Step-by-step explanation:
