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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