Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how man
y different combinations of six CD's can he put in the player?
A. 8,648,640
B. 1,716
C. 5,040
D. 720
A. 8,648,640
B. 1,716
C. 5,040
D. 720
1 answer:
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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.
Recall:
Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet