A solid cone of base radius 0.10 m and height 0.30 m is completely submerged in water. Taking ρ(water) = 1000 kg/m³ and g = 10 m/s², its buoyant force is Nπ N. Find N.
Physics · Fluid Mechanics · pascal law and buoyant force
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Question

A solid cone of base radius 0.10 m and height 0.30 m is completely submerged in water. Taking ρ(water) = 1000 kg/m³ and g = 10 m/s², its buoyant force is Nπ N. Find N.

G1 Physics · Accepted Answer

Volume of the cone is V = πr²h/3. Substitute r = 0.10 m, h = 0.30 m. Therefore, V = π×0.10²×0.30/3 = 0.001π m³. Buoyant force is B = ρVg = 1000×0.001π×10 = 10π N. Thus, N = 10.