Question

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.

Answer 1

Answer:

Step-by-step explanation:

Given that a cylinder has radius equal to 10 inches but measured to be 4 inches

The margin of error is +1 or -1 meaning that

the radius can take values between 3.9 and 4.1 inches

Volume of cylinder =$\pir^{2} h\\=100\pih$

where h is height

The above is the actual volume.

Measured volume would be between radius 3.9 and 4.1 inches

i.e. Measured volume =$\pi(3.9)^2 h$

Volume would be between these two values

Possible error =100-15.21 = 84.79 pi h

OR = 84.19 pi h cubic inches