Hide Assignment Information Instructions 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 radius of the sphere and the radius and height of the cylinder for each of the three projects will need to be input by the user. The formula for the volume of a Sphere is:V = 4/3 π r3 The formula for the volume of a Cylinder is:V = π r2 h 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.

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Hide Assignment Information Instructions 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 radius of the sphere and the radius and height of the cylinder for each of the three projects will need to be input by the user.

The formula for the volume of a Sphere is:V = 4/3 π r3
The formula for the volume of a Cylinder is:V = π r2 h

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.

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