book Maths Puzzle Numerical Ability

A sphere is inscribed in a cone with radius 6 and height 8. Find the volume of the sphere.

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book Other Question

If I have a right triangle with one side measuring 3" and one measuring 17.5", and the hypotenuse measuring 17.75 (if I used the pythagorean theorem correctly), how do I find the measurements of the other two angles? prove the following identity:

cos (90 deg - x) = sin x