drakepuig drakepuig

03-03-2022
Mathematics

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A volume of a cylinder is given by the expression 6n2 – 13n – 28. The area of the base is 3n + 4.

Which expression represents the height of the cylinder?

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Snor1ax Snor1ax

03-03-2022

Answer: 2n-7

Step-by-step explanation:

Volume of cylinder = Base Area x Height

V=πr2h

Rearrange for h

Height = Volume/Base Area

h = V/πr2

h = (6n² -13n -28)/(3n+4)

See the long division of the polynomials below, the quotient is 2n-7 which represents the height of the cylinder

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