(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

3. The attempt at a solution

Using multiple integrals I got an answer of (pika^{4})/4 kg.

Can someone please check if this is the correct answer.

Thanks a lot. A simple yes or no will do.

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# Homework Help: Multiple Integrals

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