A log 10 m long is cut at 1meter intervals and its crosssectional areas A (at a distance x from the end of the log) are listed in the table. Use the Midpoint Rule with


0  0.68 
1  0.65 
2  0.64 
3  0.61 
4  0.58 
5  0.59 
6  0.53 
7  0.55 
8  0.52 
9  0.50 
10  0.48 
To estimate:
The volume of the log by using the midpoint rule with
1) Concept:
i. If the cross section is a disc and the radius of the disc is in terms of
ii. The volume of the solid revolution about the
iii. Use the midpoint ruleto find the volume of the log.
Midpoint Rule:
where,
2) Given:
A log
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