The right circular cylinder shown in the figure above has a height of 10 units and a radius of 1 unit. Points O and P are the centers of the top and bottom surfaces, respectively. A slice is cut from the cylinder as shown, so that the angle at the top, O, is 60 degrees, and the angle at the bottom, P, is 60 degrees. What is the volume of the slice?


The total volume of the cylinder is given by \(V=h \pi r^{2}=10 \pi \times 1=31.4\), when\( \pi = 3.14\). Since the slice is a straight, 60-degree slice, its volume is one sixth of this (60/360 = 1/6), or 5.23.

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