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Dear Chegg, I need help with following math/biocalculus question(s): Volume of p

ID: 1719360 • Letter: D

Question

Dear Chegg, I need help with following math/biocalculus question(s):
Volume of pancreas A CAT scan of a human pancreas shows cross-sections spaced 1 cm apart. The pancreas is 12 com long and the cross-sectional areas, in square centimeters, are: 0 , 7.7 , 15.2 , 18.0 , 10.8 , 10.3 , 9.7 , 8.7 , 7.7 , 5.5 , 4.0 , 2.7 and 0.

A) Make a sum-expression for calculation of the pancreas volume. (Here you can count on each of the measured cross-sectional areas belongs to an interval center in an appropriate division) --> (Midpoint Rule)

B) Calculate the volume by using the following datas/numbers.

- Hope someone can show me how to do it step by step or smt. :) Thanks for reading.

Explanation / Answer

We can find partitions cross sectional volume and add them

Hence volume = 46.75 cm^3

end pts 1 2 3 4 5 6 7 8 9 10 11 12 Midpoint x 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 Area 7.7 15.2 18 10.8 10.3 9.7 8.7 7.7 5.5 4 2.7 0 Volume 3.85 22.8 45 37.8 46.35 53.35 56.55 57.75 46.75 38 28.35 0 436.55
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