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

52.2781775 cm^3 or rounded to 52.28 cm^3

Step-by-step 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

Answer 2

56.8cm³

Step-by-step 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 =
`(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