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.
1 answer:
Answer:
25.13274125 in³
Step-by-step explanation:
The radius = 4 ± 0.1
height = 10
Volume of a cylinder = πr²h
Actual volume of the cylinder = π × 4² × 10
= 502.6548246
Maximum volume = π × 4.1² × 10
= 528.1017251
Minimum volume = π × 3.9² × 10
= 477.8362426
Average error = (528.1017251 - 477.8362426)/2
= 50.2654825/2
= 25.13274125 in³
The units are inches cubed.
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