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Shelby measured the volume of a cylinder and determined it to be 54.5cm3. The teacher told her that she was 4.25% too high in her determination of the volume. What is the actual volume of the cylinder ?

Answer :

quasarJose

Answer:

56.8cm³

Explanation:

Given parameters:

Measured volume = 54.5cm³

Percentage error  = 4.25%

Unknown:

Actual volume of the cylinder = ?

Solution:

The percentage error shows the amount of error introduced into a measurement.

We need to find out this amount of error from the data given.

   Error = Percentage error x measured volume

                       Error = [tex]\frac{4.25}{100}[/tex] x 54.5  = ±2.32cm³

Since the error introduced = 2.32cm³

  Actual volume of cylinder = measured volume ± Error

  Since the percentage error quoted as higher 4.25%;

 Actual volume  = 54.5cm³ + 2.32cm³ = 56.8cm³

       

 

Answer:

52.2781775 cm^3 or rounded to 52.28 cm^3

Explanation:

Set up an equation:

54.5/x = 104.25/100


Cross multiply:
104.25x = 5,450


Find x:

104.25x/104.25 = x

5,450/104.25 = 52.2781775


X = 52.2781775

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