A storage shed has a circular base of diameter 80 feet. Starting at the center, the interior
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A storage shed has a circular base of diameter 80 feet. Starting at the center, the interior height is measured every 10 feet and recorded in the table (see figure).
(a) Use Simpson’s Rule to approximate the volume of the shed.
(b) Note that the roof line consists of two line segments. Find the equations of the line segments and use integration to find the volume of the shed.
Transcribed Image Text:
X 0 10 20 30 40 Height 50 45 40 20 0 Height 50 40 30 20 10 y 10 20 30 40 50 Distance from center
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