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7-104.

THE WEDDING CAKE, Part Three

Kiki is still trying to decide the shape of her wedding cake. She is now considering having

Setup a Riemann sum to calculate the volume of the cake.

Since there are

layers of cake, and is a large number, it would be beneficial to write the Riemann sum in sigma notation: represents the height of each cylindrical layer of cake. Figure out the radius of the smallest layer. This will give you the initial value

.Calculate the volume of this cake.

No need to expand. Use

calculator to evaluate the sigma notation.