Solve the problem.A water trough has a semicircular cross section with a radius of 0.25 m and a length of 4 m (see figure). How much work is required to pump water out of the trough when it is full? Round to two decimal places when appropriate.

A. 204.17 J
B. 9,800 J
C. 39,200? J
D. 408.33 J


Answer: D

Mathematics

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Find the extreme values of the function subject to the given constraint.  

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First, use front-end rounding to round each number and estimate the answer. Then, find the exact answer.James is taking a road to Calistoga. He has already driven 73.38 kilometers. If the entire distance to Calistoga is 115 kilometers, how much further must James drive?

A. Estimate: 30 kilometers; exact: 42.62 kilometers B. Estimate: 30 kilometers; exact: 41.72 kilometers C. Estimate: 40 kilometers; exact: 51.62 kilometers D. Estimate: 30 kilometers; exact: 41.62 kilometers

Mathematics