Write a C program that outputs values of the volume of an elliptically shaped ta

Question

Write a C program that outputs values of the volume of an elliptically shaped tank in a table.

(a) The values of the depth increment by 10 cm each time. Using the equation of an ellipse, find the volume at the specified depths by computing the cross-sectional area using numerical integration. The equation used must be a general one that would work for any function and not just this problem. Do you not use analytical methods.

(b)write a program that determines the depth corresponding to a given volume. The values of the volumes should correspond to multiples of 5 (5, 10, 15, 20, ...). To do so,you must find the equation of the root V(x)=depth. The function V(x) can be deteremined for any x by using numerical integration . The program should determine the roots of an equation for every depth using a root finding alogorithm. This function must also work for the general function and use intgration algorithms.

Explanation / Answer

First of all you want to know the formula for finding the volume of an elliptically shaped tank.

Below, I provided some equations:

Formula of surface area of cylinder:

Surface_area = 2 * Pie * r * (r + h)

Formula of volume of cylinder:

Volume = Pie * r * r * h

Pie = 22/7

Now, I am providing you with a C Program for finding the Volume and Surface area of a cylinder.

#include<stdio.h>

#include<math.h>

int main(){

    float r,h;

    float surface_area,volume;

    printf("Enter size of radius and height of a cylinder : ");

    scanf("%f%f",&r,&h);

    surface_area = 2 * M_PI * r * (r + h);

    volume = M_PI * r * r * h;

    printf("Surface area of cylinder is: %.3f",surface_area);

    printf(" Volume of cylinder is : %.3f",volume);

    return 0;

}

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