Beyond fluids, Archimedes' principle has proven useful in geology when applied to solids on the earth's crust. Figure P1.26 depicts one such case where a lighter conical granite mountain "floats on" a denser basalt layer at the earth's surface. Note that the part of the cone below the surface is formally referred to as a frustum. Develop a steady-state force balance for this case in terms of the following parameters: basalt's density (pb), granite's density (pg), the cone's bottom radius (r), and the height above (h1) andbelow (h2) the earth's surface.

Transcribed Image Text:

h2 Granite Basalt