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kd001
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Homework Statement
A hemispherical piece of ore of radius a contains flakes of gold. The flat base
of the ore is in the x, y plane and its curved surface is in the region z > 0,
where x, y, z are cartesian co-ordinates with origin at the centre of the base.
The gold density is kz kg m−3, where k is a constant. What is the total mass
of gold in the ore?
Homework Equations
The Attempt at a Solution
Using multiple integrals I got an answer of (pika4)/4 kg.
Can someone please check if this is the correct answer.
Thanks a lot. A simple yes or no will do.