Float boya

A 0.5 meter spherical float is used as a location mark for a fishing boat anchor. It floats in salt water. Find the depth to which the float sinks if the material of which the float is made weighs 8 kilograms per cubic meter and salt water weighs 1027 kg/m3.

Correct result:

h =  0.0446 m

Solution:

R=0.5 m1=m2 8 4/3πR3=1027/3πh2(4Rh) 8 4/3π0.53=1027/3πh2(4 0.5h) 4.18879=(2150.941075.47 h)h2 h1=0.04365570.0437 h2=0.04463040.0446 h3=1.999031.999  0<h<2R h=0.0446304=0.0446 m



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