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 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
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The civil engineering department has asked you to write a
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 formulas for the volumes of common geometric shapes are as follows:
1. **Sphere**:
- The formula for the volume of a sphere is:
\[
V = \frac{4}{3} \pi r^3
\]
- Here, \( V \) represents the volume, \( r \) is the radius of the sphere, and \( \pi \) (pi) is approximately 3.14159.
2. **Cylinder**:
- The formula for the volume of a cylinder is:
\[
V = \pi r^2 h
\]
- In this formula, \( V \) stands for the volume, \( r \) refers to the radius of the base of the cylinder, \( h \) denotes the height of the cylinder, and \( \pi \) is approximately 3.14159.
These formulas are fundamental in understanding the calculation of volumes for these three-dimensional shapes in geometry and various applications.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6140f0b-ca77-42ec-9dee-ead6f3b3155a%2F2a1e5204-e9e4-467d-a179-58ef084c251d%2F51c4ic9_processed.png&w=3840&q=75)
Transcribed Image Text:The formulas for the volumes of common geometric shapes are as follows:
1. **Sphere**:
- The formula for the volume of a sphere is:
\[
V = \frac{4}{3} \pi r^3
\]
- Here, \( V \) represents the volume, \( r \) is the radius of the sphere, and \( \pi \) (pi) is approximately 3.14159.
2. **Cylinder**:
- The formula for the volume of a cylinder is:
\[
V = \pi r^2 h
\]
- In this formula, \( V \) stands for the volume, \( r \) refers to the radius of the base of the cylinder, \( h \) denotes the height of the cylinder, and \( \pi \) is approximately 3.14159.
These formulas are fundamental in understanding the calculation of volumes for these three-dimensional shapes in geometry and various applications.
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