Question

How do I find the volume of the solid inside both x^2+y^2+z^2=a^2 and (x-a/2)^2+y^2=(a/2)^2?

Answer 1

$$4\int\limits_{0}^{a}\int\limits_{0}^{\sqrt{\left(\frac{a}{2}\right)^2-\left(x-\frac{a}{2}\right)^2}}\int\limits_{0}^{\sqrt{a^2-x^2-z^2}}1\, dz\,dy\,dx$$