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## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### How was the formula for a sphere originated?

The formula of a sphere, in modern terms, originates from
calculus. Given that the area of a circle
a(r) = pi*r^2
the definite integration of a(r) from -r to r, the area of the
circle rotated around a plane, z, leads to
V(r) = definite integral of -r -> r [pi*y^2]dx
where r^2 = x^2 + y^2, from the distance formula, so r^2 = x^2 -
y^2
V(r) = definite integral of -r -> r [pi(x^2-y^2)]dx
V(r) = integral of 0 -> r minus integral of -r -> 0
V(r) = pi(r^3 - (r^3)/3) - pi(-r^3 + (r^3)/3), collect terms
V(r) = (2pi*r^3)/3 + (2pi*r^3)/3
V(r) = (4pi*r^3)/3

###### Asked in C Programming, Abstract Algebra

### Write a c program of matrix addition to handle two dimensional array?

#include<stdio.h>
#include<conio.h>
void main()
{
int a[3][3],b[3][3],c[3][3],r,c;
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{
printf("\n enter the value=");
scanf("%d%d",&a[r][c],&b[r][c]);
}
}
printf("\n first matrix=\n");
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{
printf("%d\t",a[r][c]);
}
printf("\n");
}
printf("\n scond matrix=\n");
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{printf("%d\t",b[r][c]);
}
printf("\n");
}
printf("\n sum of given matrix=\n");
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{
c[r][c]=a[r][c]+b[r][c];
printf("%d\t",c[r][c]);
}
printf("\n");
}
getch();
}

###### Asked in Computer Programming, C Programming

### Write a c program using two dimensional arrays that computes the sum?

#include<stdio.h>
#include<conio.h>
void main()
{
int a[3][3],b[3][3],c[3][3],r,c;
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{
printf("\n enter the value=");
scanf("%d%d",&a[r][c],&b[r][c]);
}
}
printf("\n first matrix=\n");
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{
printf("%d\t",a[r][c]);
}
printf("\n");
}
printf("\n scond matrix=\n");
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{printf("%d\t",b[r][c]);
}
printf("\n");
}
printf("\n sum of given matrix=\n");
for(r=0;r<=3;r++)
{
for(c=0;c<3;c++)
{
c[r][c]=a[r][c]+b[r][c];
printf("%d\t",c[r][c]);
}
printf("\n");
}
getch();
}

###### Asked in Math and Arithmetic, Geometry, Volume

### What is the formula for calculating volume of a hemisphere?

A hemisphere is half a sphere. This suggests the following
method: Step 1. Calculate the volume of a sphere that is as big as
two of your hemispheres. Given a radius r, that volume is: 4/3 * pi
* r^3 pi is approximately 3.1415927 r^3 means r*r*r (r cubed) Step
2. Divide answer of first step by 2 The volume of a sphere is given
by V=4piR^3/3 +four thirds pi R cubed" where V= the volume and R is
the radius. The volume of a hemisphere (half-sphere) is half of
this volume: V=2piR^3/3