Problem

Volume of a Cup Sunbelt Paper Products makes conical paper cups by cutting a 4-in. circula...

Volume of a Cup Sunbelt Paper Products makes conical paper cups by cutting a 4-in. circular piece of paper on the radius and overlapping the paper by an angle a as shown in the figure.

a.    Find the volume of the cup to the nearest tenth of a cubic inch if α = 30°.

b.    Write the volume of the cup as a function of α.

Figure

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