SOLUTION: A spherical bowl of radius 10 is filled with oil to such a depth that the oil surface is equal to 75(pi) square cm. Compute the volume of the oil and find the area covered by the o

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Question 867660: A spherical bowl of radius 10 is filled with oil to such a depth that the oil surface is equal to 75(pi) square cm. Compute the volume of the oil and find the area covered by the oil in the tank.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A spherical bowl of radius 10 is filled with oil to such a depth that the oil surface is equal to 75(pi) square cm. Compute the volume of the oil and find the area covered by the oil in the tank.
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The radius of the surface is sqrt(75) cm.
d = depth of oil
75 = d*(20-d) (products of chords)
d^2 - 20d + 75 = 0
d = 5, d = 15 cm
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I'll find the area and volume later today.

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