A spherical storage tank contains oil. The tank has a diameter of 6 feet. You are...

A spherical storage tank contains oil. The tank has a diameter of 6 feet. You are asked to calculate the height at which an 8-foot-long dipstick would be wet with oil when immersed in the tank when it contains 6 ft³ of oil. The equation giving the height h of the liquid in the spherical tank for the given volume and radius is given by:

f(h) = h³−9h² + 3.8197

Use the secant method to find roots of equations to find the height at which the dipstick is wet with oil.

Perform three iterations to estimate the root of the equation above.

Find the absolute relative approximate error at the end of each iteration and the least correct number of significant digits at the end of each iteration. (h_-1= 0.5 and h₀ = 1)

Expert Solution

Colby Messinger answered 2 years ago

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