book Maths Puzzle Numerical Ability

What is the height of a cone that is inscribed in a hemisphere which has a radius of 10?

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book Other Question

A rectangular garden is 15 by 12 meters, you need to have a rectangular area inside such that a uniform strip of side walk is made, the area inside has to be 108 square meters. Find the dimensions of the interior area. find the domain of the following functions by determining which numbers, if any, cannot be used:
1) f(x)=3x^2/(1+3x)
2) f(x)=(x^2+x-2)(x^2+4)

Thank you.