1. The problem statement, all variables and given/known data
Find the volume of the (half) shell, ignoring flanges, using the equation (in attachment).
Equations and variables given on the attachment.
2. Relevant equations
3. The attempt at a solution
a) I just need help by setting up the integral to find the volume.
What I did was taking the double integral with the region given by theta and r. This is my double integral:
∫(range of θ)∫(range of r) [z] drdθ
Is this integral correct?
b) Surface area = ∫∫[sqrt(z(r) + z(θ) +1]drdθ
where z(r) = partial derivative of r
and z(θ) = partial derivative of θ
Am I on the right track?
Find the volume of the (half) shell, ignoring flanges, using the equation (in attachment).
Equations and variables given on the attachment.
2. Relevant equations
3. The attempt at a solution
a) I just need help by setting up the integral to find the volume.
What I did was taking the double integral with the region given by theta and r. This is my double integral:
∫(range of θ)∫(range of r) [z] drdθ
Is this integral correct?
b) Surface area = ∫∫[sqrt(z(r) + z(θ) +1]drdθ
where z(r) = partial derivative of r
and z(θ) = partial derivative of θ
Am I on the right track?
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