what the output , input and processing tasks should be to meet the requirements

Question

what the output, input and processing tasks should be to meet the requirements you have been given.

1) (10 pts) A program calculates the volume of a prism whose base is a regular n-sided polygon. A prism is a polyhedron with an n-sided polygonal base. another congruent parallel base (with the same rotational orientation) and in other faces. necessarily all parallelograms) joining corresponding sides of the two base An example of a hexagonal prism is depicted in Figure 1 The formula to calculate the volume of a prism with a regular n-sided polygon base is ha cot Where V: Volume of the prism (in cubic units of length) a: Length of the side of the prism (in units of length) h: Height of the prism (in units of length n: Number of sides of the prism TT: Mathematical constant approximately equal to Figure 1. A hexagonal 3.1416 prism with side length a, cos 0 and height h. Cot: Cotangent trigonometric function cot sin

Explanation / Answer

Good wishes,

The input , processing and out tasks involved in finding the volume of a prism(polyhedron) ia as follows:

Input:

As inputs you need to prompt the user to provide with

Processing:

Coming to the processing part we need to calculate the value of (3.1416/n) and store it in a dummy variable 'd'

d=(3.1416/n)

Next we have to find the value of cot(d)

use specific built-in functions/methods of the language to find cotangent value of 'd' and store it in the variable 'ct'

Next calculate the volume of prism and store it 'v' as below

v= (n/4)*h*a*a*ct

Output:

Now our output is ready and stored in variable 'v', just print it.

Though you did not ask me to write the program using a programming language, I wish to provide you with an implementation of the above steps using 'C' language:

#include <stdio.h>
#include <math.h>
int main()
{
int a,h,n;
float ct,v,d;
printf("Please enter value for Length of the side of the prism(in units of length)");
scanf("%d",&a);
printf(" Please enter value for Height of the prism(in units of length) ");
scanf("%d",&h);
printf(" Please enter value for Numberof sides of the prism");
scanf("%d",&n);
d=3.1416/n;
ct=1/tan(d);
v=(n/4)*h*a*a*ct;
printf(" Volume of the prism is %f ",v);
return 0;
}

sample output:

Please enter value for Length of the side of the prism(in units of length) 2

Please enter value for Height of the prism(in units of length) 3

Please enter value for Numberof sides of the prism 6

Volume of the prism is 1999.98

Hope this is clear.

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