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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? Pl…
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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? Pl…
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Aug 14, 2017
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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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David Smiley
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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)
Don Lun
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Aug 18, 2017
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