A company named KOHLER makes float switch for water tanks. The ball has a relative density of 3/5 and has a diameter of 11 cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x in meters to which the ball is submerged under water is given by x³-33/200x² + 3993/106 = 0. Using false-position method for finding roots of equations, find the depth x to which the ball is submerged under water. (Use tolerance level of 0.00001)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company named KOHLER makes float switch for water tanks. The ball has a relative density of 3/5 and
has a diameter of 11 cm. You are asked to find the depth to which the ball is submerged when floating in
water.
The equation that gives the depth x in meters to which the ball is submerged under water is given
by x³-33/200x² + 3993/106 = 0. Using false-position method for finding roots of equations, find the depth
x to which the ball is submerged under water. (Use tolerance level of 0.00001)
Transcribed Image Text:A company named KOHLER makes float switch for water tanks. The ball has a relative density of 3/5 and has a diameter of 11 cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x in meters to which the ball is submerged under water is given by x³-33/200x² + 3993/106 = 0. Using false-position method for finding roots of equations, find the depth x to which the ball is submerged under water. (Use tolerance level of 0.00001)
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