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Homework Statement
The problem is attached in the picture.
The Attempt at a Solution
My question is, why can't the limits of ∫(dp) be from 0 to 1?
The shape is of the body is an inverted cone of angle 45 degree. Then isn't the question simply to find the integral of that function from p = 0 to p = 1, z = 0 to z = 1 and ∅ = 0 to ∅ = 2∏?
Since:
x = p cos∅
y = p sin∅
z = z
x^{2}+y^{2} ≤ z^{2}, 0 ≤ z ≤ 1
p^{2} ≤ z^{2}
p ≤ z
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