Find an equation in spherical coordinates for the surface represented by the rectangular equation. x2 + y2 – 15z2 = o Step 1 Rewrite the given equation x2 + y² – 15z2 = 0 in the form x2 + y2 = 15z?. Add z2 to both the sides of the given equation. x2 + y2 + z2 = 16 z2 Step 2 Use the relationship between the rectangular and spherical coordinates, which is given by p2 = x2 + y2 + X ,z = p cos (p. Substitute these values into the above equation x2 + y2 + z² = 16z2. = 16(p cos p)² 16p2 cos? =

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