- #1
sssddd
- 44
- 0
I just need a really good derivation of it using spherical coordinates, like the integral limits.
pictures might help
pictures might help
sssddd said:I just need a really good derivation of it using spherical coordinates, like the integral limits.
pictures might help
sssddd said:actually i was more interested in how you derived the d phi(that other angle thing) part
Like which integrant belongs to which. Mathworld doesn't show too much of that, the math part I get but I would like to know which angle belong to which. Since there are 3 sets of integral limits, then there should 3 of them, so which belongs which accoring to the equation cavoy posted
The formula for finding the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius of the sphere.
The formula for volume of a sphere is derived using the method of integration in calculus. The process involves slicing the sphere into infinitely thin disks and integrating their volumes to find the total volume of the sphere.
The volume of a sphere is directly proportional to the cube of its radius. This means that if the radius is doubled, the volume will increase by a factor of 8.
No, the volume of a sphere cannot be negative. It is a physical quantity and therefore cannot have a negative value.
Yes, there is a simpler formula for finding the volume of a sphere that involves only the radius. This formula is V = (4/3)πr³ and is often used instead of the derivation method in practical applications.