Question 165082: A sphere with a radius(x - 1) / 2 is floating in a cylindrical tank of water with radius (x – 1). Determine the volume, V, of water in the tank. The height of the cylinder is (x + 4) / 6 Express your answer as a polynomial in factored form. Leave your answer in exact form.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A sphere with a radius(x - 1) / 2 is floating in a cylindrical tank of water with radius (x – 1). Determine the volume, V, of water in the tank. The height of the cylinder is (x + 4) / 6 Express your answer as a polynomial in factored form. Leave your answer in exact form.
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The volume of the tank is PI*(r^2)*h
V = PI*(x+4)/6
V = (PI/6)*(x-1)*(x-1)*(x+4) (in factored form)
I don't know what "a polynomial in factored form" means.
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The amount of water displaced by the sphere can't be determined without additional info, such as its density, or what part of it is submerged.
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