Your help working through this problem will be a greater learning experience than I've had in class this semester. I have so little idea of how to begin this. 1. A hemispherical shell (like an empty bowl) with non-negligible thickness floats in water in such a waythat the opening is at water level. Assume the water is just at the top of the bowl without spilling overand so the bowl is empty. The radius of the inner surface (r) of the shell is 3cm, while the outer radius(R) is 4cm.top view:side viewwater level(a) What is the density of the material making up the shell? The density of water is 1000kg/m³.(b) The answer to part (a) should be a density larger than that of water. If the density of thematerial making up the bowl is larger than that of water then how is it floating? What wouldhappen if you pushed the bowl under the surface and let it fill up with water?

Given, The inner surface of the radius of the shell (r)= 3 cm The Outer surface of the radius of the shell (R) = 4 cm Let the density of the bowl be ρ Volume of the Water displaced is given by, Vω=23π×R3 Volume of the bowl is given by, V=23π×R3-r3 According to condition of floating V×ρ×g=Vω×ρω×g⇒ρ=2/3π×R3-r3×ρ=23π×R3×ρω ⇒ρ=R3R3-r3×ρω On substituting the given values in the above formula, ⇒ρ=4343-33×1000 ⇒ρ=1729.7 kgm3 Therefore, the density of the water is 1729.7 kgm3b) Since, bowl weight is balanced by the Buoyant force acting on the bowl , these two forces are in equilibrium causing the bowl to float. If the bowl is filled with water, the weight of the bowl is higher then weight of water so that bowl will sink into the water.

Answered: herical shell (like ening is at water…

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Advanced Physics

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