Why Does a Hollow Sphere Cool Faster Than a Solid Sphere?

[Amith2006]

Sir,
It is said that a hollow sphere cools faster that a solid sphere. Is it because a hollow sphere contains smaller quantity of heat than the solid sphere? Or is it because the rate of heat loss is inversely proportional to thickness of the conductor through which heat is lost?

 

[Hootenanny]

Consider the density of a solid sphere, compared to a hollow sphere; and hence compare the specific heat capacity of the two spheres.

~H