A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the cylinder as a polynomial function. For the following exercises, write the polynomial function that models the given situation.

For the following exercises, write the polynomial function that models the given situation. A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the cylinder as a polynomial function.

Expert Solution

Consider the following for a cylinder,

r = (x + 2)

h = x + 2 + 3

h = x + 5

Consider the formula for volume of a cylinder,

v = πr2h

Put the values in the formula,

v = πr2h

= 22/7 × (x + 2)2(x + 5)

v = 22/7 × (x2 + 4x + 4)(x + 5)

= 22/7 × (x3 + 5x2 + 4x2 + 20x + 4x + 20)

= 22/7(x3 + 9x2 + 24x + 20)

= 22/7x3 + 198/7x2 + 528/7x + 440/7

Hence, the polynomial is 22/7x3 + 198/7x2 + 528/7x + 440/7.

Junaid answered 1 year ago

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Question

A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the cylinder as a polynomial function. For the following exercises, write the polynomial function that models the given situation.

Solutions

Expert Solution

Related Solutions

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