1. [-/3.5 Points] DETAILS SCALCET8 15.8.AE.004. MY NOTES PRACTICE ANOTHER EXAMPLE 4 Use spherical coordinates to find the volume of the solid that lies above the cone z = \\ x2 + y2 and below the sphere x2 + y2 + z2 = 3z. (See the top figure.) SOLUTION Notice that the sphere passes through the origin and has center (0, 0, 5 ). we write the equation of the sphere in spherical coordinates as p2 = 3p cos(() or The equation of the cone can be written as p cos(() = v p2 sin2(