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Approximating Area And Volume

by Endorser
Tags: area, integral, revolution, volume
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Jul12-11, 01:10 AM
P: 42
I am given a table of values to calculate the volume of water in a lake.

X(m) 0 50 100 150 200 250 300
Y(m) 10.2 39.1 56.9 43.2 28.5 17.7 9.8

Where X is intervals across the lake
Where Y is depth of the lake in meters

The aim is to work out the volume using a range of different methods, including;

Upper and lower rectangles
Trapezium Method
Simpson's Method

I understand how to calculate the area under the curve, however i am not sure how to use the values calculated for area to determine the volume of the lake

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Jul12-11, 01:56 AM
HW Helper
ideasrule's Avatar
P: 2,324
I'm not sure either. Are you given any information about the z direction? You can't calculate volume if you only have information about 2 of the 3 dimensions.
Jul13-11, 05:53 AM
P: 42
no z direction, nothing, that is what has me confused

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