herical shell (like ening is at water le powl is empty. The

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1. A hemispherical shell (like an empty bowl) with non-negligible thickness floats in water in such a way
that the opening is at water level. Assume the water is just at the top of the bowl without spilling over
and 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 view
water 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 the
material making up the bowl is larger than that of water then how is it floating? What would
happen if you pushed the bowl under the surface and let it fill up with water?
Transcribed Image Text:1. A hemispherical shell (like an empty bowl) with non-negligible thickness floats in water in such a way that the opening is at water level. Assume the water is just at the top of the bowl without spilling over and 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 view water 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 the material making up the bowl is larger than that of water then how is it floating? What would happen if you pushed the bowl under the surface and let it fill up with water?
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