A mathematical model for the inside of a bowl is obtained by rotating the curve x 2

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A mathematical model for the inside of a bowl is obtained by rotating the curve x2 + y2 = 100 through 360° about the y-axis between y = −8 and y = 0. Each unit of x and y represents 1cm.

a. Find the volume of the bowl.
The bowl is filled with water to a depth of 3cm.
b. Find the volume of water in the bowl.

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