a cylinder has a volume of (x+5) (x^2+10x+25)pi and a diameter of 2x+10. Find the height. PLEASE HELP

Height = (x² + 10x + 25)

Step-by-step explanation:

We are given;

volume of cylinder; v = (x+5)•(x² + 10x + 25)π

Diameter = 2x + 10

So radius;r = diameter/2 = (2x + 10)/2 = x + 5

Now,formula for volume of cylinder is;

V = πr²h

Where r is radius and h is height

Plugging in the relevant values, we have;

(x+5)•(x² + 10x + 25)π = π(x + 5)*h

Dividing both sides by π(x + 5) gives us;

h = (x² + 10x + 25)

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