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A can of soda has a radius of 4x – 5 and a height of 7x + 4. Using the formula V = πr^2h for the volume of a cylinder, what is the total volume of the soda can in terms of π?

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The volume would be in terms of x.


r=4x-5
h=7x+4

V=πr²h=π(4x-5)²(7x+4)
=π(16x²-40x+25)(7x+4)
=π(112x³+64x²-280x²-160x+175x+100)
=π(11x³-216x²+15x+100)

Answer: V(x)=π(11x³-216x²+15x+100)

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