A poster storage tube in the shape of a cylinder has a demeanor of 3.5 inches in a volume of 122.5 pi cubic inches. What is the height of the poster storage tube in inches
To find the height of the poster storage tube, we can use the formula for the volume of a cylinder:
Volume = πr^2h
Given that the volume is 122.5π cubic inches and the diameter is 3.5 inches, we can find the radius by dividing the diameter by 2:
r = 3.5 / 2 = 1.75 inches
Substitute the values into the formula:
122.5π = π(1.75)^2h
122.5 = 3.0625h
h = 122.5 / 3.0625
h = 40 inches
Therefore, the height of the poster storage tube is 40 inches.