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Reptile [31]
3 years ago
13

Geometry

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0
Sorry man, don’t know it, hopefully you get someone who knows
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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
GenaCL600 [577]

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 = \pi r^{2} h

So, volume of the given cylinder, V = 10\pi r^{2}

Then, \frac{dV}{dr}=20\pi r i.e. dV=(20\pi r)dr,

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

As, we have,

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Substituting the values, we get,

dV=(20\pi r)dr

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

4 0
4 years ago
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