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 =[tex]\pir^{2} h\\=100\pih[/tex]
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 =[tex]\pi(3.9)^2 h <V<\pi4.1^2h\\15.21\pi h<V<16.81\pi h[/tex]
Volume would be between these two values
Possible error =100-15.21 = 84.79 pi h
OR = 84.19 pi h cubic inches
