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How to use calculus (polar coordinate system) in advanced mathematics to derive the volume formula of a sphere and find the process? Note: I will. I want to ask if it is slightly pie-shaped.
Volume formula

=∫∫∫_V dV

This is a sphere, so use spherical coordinates.

=∫& lt; 0,2π& gt; ∫& lt; 0,π& gt; ∫& lt; 0,r & gtρ^2 sin φ dρdφdθ

=∫& lt; 0,2π& gt; dθ∫& lt; 0,π& gt; sinφdφ∫& lt; 0,r & gtρ^2dρ

= 2π*[-cosφ| & lt; 0,π& gt; ]*[ρ^3/3 | & lt; 0,r & gt]

=2π*2*r^3/3

=4πr^3/3

I hope I can help you. This is a triple integral.