The material costs of building a single pillar is $25 per cubic metre. A regular tetrahedron (triangular pyramid) is a solid three-dimensional shape that has four equilateral triangular faces. One of the equilateral triangles is considered as the base and the other three equilateral triangles together form the pyramid. The required formulae for calculating the total volume of a pillar are as follows: • The formula to calculate the volume of a regular tetrahedron, with side length a, is: V = a³√2 12 • The formula to calculate the volume of a sphere, with radius r, is: 4 V=r³ Note that for π (pi) we would be the constant from the math module. Given the side length of the regular tetrahedron portion of a pillar and the radius of the sphere portion, compute and display the total volume of a single pillar as well as the material costs of all 8 pillars that Mr. Table needs. Your output should have appropriate labelling and formatting. Note: Use the math module functions (pow, sqrt) and the constant pi. Call the file containing your program pillars.py. Sample input (shown in bold blue) and output from the program is as follows: Please enter (in metres) the side length of the regular tetrahedron: 6 Please enter (in metres) the radius of the sphere: 2 The total volume of one pillar is 58.97 cubic metres. The cost of 8 pillars is $11793.23
The material costs of building a single pillar is $25 per cubic metre. A regular tetrahedron (triangular pyramid) is a solid three-dimensional shape that has four equilateral triangular faces. One of the equilateral triangles is considered as the base and the other three equilateral triangles together form the pyramid. The required formulae for calculating the total volume of a pillar are as follows: • The formula to calculate the volume of a regular tetrahedron, with side length a, is: V = a³√2 12 • The formula to calculate the volume of a sphere, with radius r, is: 4 V=r³ Note that for π (pi) we would be the constant from the math module. Given the side length of the regular tetrahedron portion of a pillar and the radius of the sphere portion, compute and display the total volume of a single pillar as well as the material costs of all 8 pillars that Mr. Table needs. Your output should have appropriate labelling and formatting. Note: Use the math module functions (pow, sqrt) and the constant pi. Call the file containing your program pillars.py. Sample input (shown in bold blue) and output from the program is as follows: Please enter (in metres) the side length of the regular tetrahedron: 6 Please enter (in metres) the radius of the sphere: 2 The total volume of one pillar is 58.97 cubic metres. The cost of 8 pillars is $11793.23
Computer Networking: A Top-Down Approach (7th Edition)
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Transcribed Image Text:The material costs of building a single pillar is $25 per cubic metre.
A regular tetrahedron (triangular pyramid) is a solid three-dimensional shape that has four equilateral triangular
faces. One of the equilateral triangles is considered as the base and the other three equilateral triangles together
form the pyramid.
The required formulae for calculating the total volume of a pillar are as follows:
• The formula to calculate the volume of a regular tetrahedron, with side length a, is:
a³√2
V=-
12
• The formula to calculate the volume of a sphere, with radius r, is:
4
V = = πr³
Note that for л (pi) we would be the constant from the math module.
Given the side length of the regular tetrahedron portion of a pillar and the radius of the sphere portion,
compute and display the total volume of a single pillar as well as the material costs of all 8 pillars that Mr.
Table needs. Your output should have appropriate labelling and formatting.
Note: Use the math module functions (pow, sqrt) and the constant pi.
Call the file containing your program pillars.py.
Sample input (shown in bold blue) and output from the program is as follows:
Please enter (in metres) the side length of the regular tetrahedron: 6
Please enter (in metres) the radius of the sphere: 2
The total volume of one pillar is 58.97 cubic metres.
The cost of 8 pillars is $11793.23
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