The path from Bart's house, H, to the library, L, forms a line segment. Maple Road, M, bisects this path. Bart's school, S, is t
he midpoint of the segment from Bart's house to Maple Road. The town hall, T, is the midpoint of the segment from Maple Road to the library. What landmark is the same distance from Bart's house as the school is from town hall? Draw a diagram to support your answer
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