Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere 
Volume of a Cylinder 
Therefore:
The Volume of the Solid formed

Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C

Recall: 
Therefore:

The minimum cost occurs at the point where the derivative equals zero.


![-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518](https://tex.z-dn.net/?f=-27840%2B32%5Cpi%20r%5E3%3D0%5C%5C27840%3D32%5Cpi%20r%5E3%5C%5Cr%5E3%3D27840%20%5Cdiv%2032%5Cpi%3D276.9296%5C%5Cr%3D%5Csqrt%5B3%5D%7B276.9296%7D%20%3D6.518)
Recall:

Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet
Answer:
d= 2√10
Step-by-step explanation:
y= 3x - 5
3x - y - 5=0
d= | 3* 7 +(-1) * (-4) + (+5) |
________________

d = | 20 | / 
d = 20 / 
d = 2
Answer:
11x + y = 25
Step-by-step explanation:
Start with y = mx + b
Slope is -11, so m = -11
Point is (2, 3), so we plug that back in to get the intercept.
3 = -11 * 2 + b
3 = -22 + b
b = 25
y = -11x + 25
11x + y = 25 in standard form.
Let's first find the number of apple pies.
apple pies = 65 crates x 43 apple pies per crate = 2795 apples pies
If each apple pie cost $12 then...
money from apple pies = 2795 apple pies x $12 = $33540
total pies sold = 2795 apple pie + 121 boxes x 76 sweet potato pies = 11991 pies