Find the greatest possible percentage error in finding the volume of the cylinder.
Answer to Problem 40PPE
About 51.26%
Explanation of Solution
Given :
The height of a cylinder is 2 ft. The diameter of the base is 5 ft.Each dimension is accurate to the nearest foot.
Calculation:
Volume formula :
Radius = r =
Height = h = 2 ft.
Accurate possible error to the nearest foot is 0.5 ft.
Measured volume =
The possible minimum error in diameter = (5-0.5) = 4.5 ft.
So, the possible minimum error in the radius =
The minimum error in the height = (2 − 0.5) = 1.5 ft.
Minimum volume =
The possible maximum error in diameter = (5+0.5) = 5.5 ft.
So, the possible maximum error in the radius =
The maximum error in the height = (2 + 0.5) = 2.5 ft.
Maximum volume =
Find the differences :
|Minimum volume - Measured volume| =
|Maximum volume - Measured volume| =
The greater difference in volume is 20.12.
So, the greatest possible percentage error =
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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