The region bounded by f(x) = −3x² + 12x + 63, x = 0, and y = 0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.

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Q: f(x) = 19 – x², x 20 f(x) = x - 3, x 2 0

A: We will find the volume as following.

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Q: The volume of a cubic storage bin is (125x 3 – 64) m 3 . Express the volume in factored form.

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