SOLUTION: The base of a regular square pyramid is inscribed in the base of a cylinder. The height of the cylinder is triple the height of the pyramid. Find the ratio of the volume of the p
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Question 74597: The base of a regular square pyramid is inscribed in the base of a cylinder. The height of the cylinder is triple the height of the pyramid. Find the ratio of the volume of the pyramid to the volume of the cylinder.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
For a square inscribed in a circle, the diagonal of the square is twice the radius of the circle.
area of circle is
area of square is
the volume of a pyramid is in this case
the volume of a cylinder is in this case
the ratio of the volumes is
multiplying the top and bottom of the fraction by 3 and cancelling the h and the leaves
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