圓體積

圓方程:x2+y2=r2

體積:π∫r-ry2dx

=π∫r-r[r2-x2]dx

=π[r2x-x3/3]r-r

=π{[r3-r3/3]-[r2(-r)-(-r)3/3]}

=π{2r3/3+r3-r3/3}

=4πr3/3

∴圓體積=4πr3/3