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:
Step-by-step explanation:
3n+15=75
three times a number is 3n. +15 is 15 more.
3n+15=75 subtract 15 from both sides to get the 3n alone
3n=60 divide by 3 to get the n by itself
n=20
It’s really simple 2+6=7 7\10
Answer:f(1)=-4, f(1)=1
Just substitute the value to the x, Like this.
F(x)=x²+2x-7
F(1)=(1)²+2(1)-7
=1+2-7
=3-7
=-4
Step-by-step explanation:
Answer:
Step-by-step explanation:
if i am reading this correctly it would be y2-y1/ x2-x1
therefore substitution
-8-(-8)/7-3 this is a fraction
0/4= 0
