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

1 answer

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.