Names:
______________________
April 22, 2010
Geomath: In-Class
Problems 9.9 & 9.10
Part 1) Read problem 9.9 in the text.
Given
2
2
2
2
1
e
p
z
r
r
r
⎛
⎞
=
−
⎜
⎟
⎝
⎠
1) What is the volume of a disk
Δ
z thick at some arbitrary z
i
? Hint: volume = area of disk
times its thickness.
2) Express the volume of the Earth as a sum of N of the above disks.
3) Rewrite the discrete sum as an integral and solve the definite integral using the limits
–r
p
& r
p
.
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