The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.1 inch. what is the resulting possible error in the volume of the cylinder? include units in your answer

Possible error in the volume of the cylinder is ±8π inch³.

Step-by-step explanation:

We have, a right circular cylinder with radius, r = 4 inches and height, h = 10 inches.

As, the volume of a cylinder =

So, volume of the given cylinder, V =

Then, i.e. ,

where dV and dr represents the possible change (or error) in volume and radius of the cylinder respectively.

As, we have,

r = 4 inches and dr = ±0.1 inch.

Substituting the values, we get,

⇒  

⇒  

⇒   inch³

Hence, the possible error in the volume of the cylinder is ±8π inch³.

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