Let Ω denote a simply connected region on the Riemann spherePsuch that Ω is convex relative to spherical geometry and Ω ≠P. The quantity (1 +|z|2λΩ(z) is called the spherical density of the hyperbolic metric λΩ(z)|dz|on Ω. Two sharp lower bounds for the spherical density are obtained. First (1 +|z|2)λΩ(z)⩾ cosecwith equality if and only if Ω is a hemisphere, wheredenotes the spherical distance from z to. Second, iffor all ζ∈Ω then λΩ(z)⩾π/4Ø These bounds lead to covering theorems for the classKsα of all univalent functionsfin the unit diskDsuch thatandf(D) is spherically convex. The Koebe setf∈Ks(α)) is the spherical disk about the origin with spherical radius (1 2) aresin α while the spherical Bloch constant for the familyKs(α)is απ4. For both covering results all extremal functions are identified.