The civil engineering department has asked you to write a program to compare three different designs of water towers shown in the diagrams below. The water towers are a cylinder topped with a half sphere. The engineers want to find the design that has the highest volume. The dimensions of the three designs are as follows: Design 1:     Sphere          Radius 98 feet     Cylinder         Radius 98 feet         Height 102 feet          Design 2:     Sphere          Radius 90 feet     Cylinder         Radius 90 feet         Height 120 feet          Design 3:     Sphere          Radius 100 feet     Cylinder         Radius 100 feet         Height 98 feet   Write two functions that will calculate the volume of a sphere and a cylinder respectively. Then, use these functions to write a program that will find the design with the largest volume. Hint: Remember that the tower only consists of a half sphere. Solve in Python Please

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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The civil engineering department has asked you to write a program to compare three different designs of water towers shown in the diagrams below.

The water towers are a cylinder topped with a half sphere. The engineers want to find the design that has the highest volume.

The dimensions of the three designs are as follows:

Design 1:
    Sphere 
        Radius 98 feet
    Cylinder
        Radius 98 feet
        Height 102 feet
        
Design 2:
    Sphere 
        Radius 90 feet
    Cylinder
        Radius 90 feet
        Height 120 feet
        
Design 3:
    Sphere 
        Radius 100 feet
    Cylinder
        Radius 100 feet
        Height 98 feet

 

Write two functions that will calculate the volume of a sphere and a cylinder respectively. Then, use these functions to write a program that will find the design with the largest volume.

Hint: Remember that the tower only consists of a half sphere.

Solve in Python Please

The formula for the volume of a Sphere is: V
The formula for the volume of a Cylinder is: V = är²h
=
3
πρ
Transcribed Image Text:The formula for the volume of a Sphere is: V The formula for the volume of a Cylinder is: V = är²h = 3 πρ
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