Volume of Reuleaux Tetrahedron

The Reuleaux tetrahedron is a three dimensional solid. It can be defined as four spheres with equal radius so that the center of each sphere lies on the surface of the other three spheres. The volume of the Reuleaux tetrahedron is given by

v = 24 ₀∫^π/3₀∫^Φ(8)₀∫^(8Φ)r² sin Φ dr dΦ dθ

The Reuleaux tetrahedron is a three dimensional solid. It can be defined as four spheres with equal radius so that the center of each sphere lies on the surface of the other three spheres. The volume of the Reuleaux tetrahedron is given by

v = 24 ₀∫^π/3₀∫^Φ(8)₀∫^(8Φ)r² sin Φ dr dΦ dθ