(a) Approximate µV . (b) Approximate σV . (c) Write the estimate of the volume, along with the estimated error, in engineering (i.e. ±) notation. Be sure to state the units.
A sewage treatment facility has a large circular holding tank. A worker wishes to measure the volume of the tank
(in cubic meters). The volume can be found by V = C 2h / 4π where h is the height of the tank (in meters), and C is the circumference of the tank (in meters). The height h can be measured without error. The large circumference, however, is very difficult to measure accurately due to the limited measuring equipment available. Assume C ∼ ·(µC , σ2 C = 402) meters. The worker measured the height to be h = 3.2 meters and the circumference C to be c = 210 meters.
(a) Approximate µV .
(b) Approximate σV .
(c) Write the estimate of the volume, along with the estimated error, in engineering (i.e. ±) notation. Be sure to
state the units.
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