MAT136H1 Lecture : 6.2 Volumes Question #4 (Medium)
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Question #4 (medium): volume approximation using the midpoint rule. When a dataset is given, the volume can be approximated by: Usually, the number of disks is fixed to be a reasonable value of . So then disappears, leaving only the summation sign. The height of individual disk depends on , so can be chosen as any point. But the question usually specifies which point to use. Trunk of a giant tree is in height. It is sliced into thickness to be used as tabletops. The surface area of each sliced trunk is given in the table. Use the midpoint rule with to estimate the entire volume of the trunk of the tree. Midpoint rule with means the whole interval [ ] in or [ ] in is divided into 5 subintervals of equal width of or then the midpoints become every alternating.
