Answer:
Height = (x² + 10x + 25)
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)