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A solid wooden object turned on a lathe has a length of 50 cm and diameters (measured in cm) shown in the figure.
A solid wooden object turned on a lathe has a length of 50 cm and diameters (measured in cm) shown in the figure. (A lathe is a tool that spins and cuts a block of wood so that it has circular cross sections.) Use left Riemann sums to estimate the volume of the object.
A wooden object of length 50 centimeters that has circular cross sections is turned on a lathe. A curve follows seven plotted points that are evenly spaced on the top of the wooden object, where a plotted point is at each end of the object. From left to right, the diameters of the cross sections at the plotted points are labeled as follows: 12.2, 14.0, 16.4, 25.4, 36.4, 42.0, 44.8. 12.2
44.842.036.425.416.412.214.050 cm
50 cm
The approximate volume of the object is
nothing
cmcubed
.
(Do not round until the final answer. Then round to two decimal places as needed.)
