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Numerade Educator

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Problem 43 Medium Difficulty

A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced 1.5 cm apart. The liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 18, 58, 79, 94, 106, 117, 128, 63, 39, and 0. Use the Midpoint Rule to estimate the volume of the liver.

Answer

1110 $\mathrm{cm}^{3}$

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Video Transcript

this question is asked us to use the midpoint rule. So first thing we do is change in axis be months over and plugging what we know we end up with changing acts or Delta X is three. Now we can use the midpoint rule three times a of 1.5 plus a 4.587 point five plus a 10.5 plus every 13.5. This gives us three times 3 70 which is 1000 and 10 units are centimeters cubed.