Question

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 1

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 = $\frac{4.25}{100}$ 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