Final answer:
The question presents a mathematical equation representing the volume of a right circular cylinder. The equation is integrating with respect to 'x', which serves as the radius of the cylinder, from 'a' to 'b' to compute the volume.
Step-by-step explanation:
The formula V=2π∫a^b (radius)(height) dx, where radius=x and height is a constant, describes the volume of a right circular cylinder. Here, 'x' corresponds to the radius, and 'height' refers to the height of the cylinder, which remains constant. Therefore, in your formula, you are integrating with respect to 'x', which represents the radius of your cylinder. If you want to determine the volume for specific values of 'a' and 'b', replace 'x' with these respective values and perform the integral calculation.
For example, assuming the height of your cylinder is 5 units and you wish to find the volume between a radius of 1 unit ('a') and 3 units ('b'), then you will integrate from 1 to 3 (the limits of your integration, as presented in the formula).
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