Question

Shelby measured the volume of a cylinder and determined it to be 54.5 cm3 . 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:

V = 56.816 cm³

Explanation:

Given that,

The measured value of the cylinder is 54.5 cm³

The percent error in the measurement of the volume is 4.25%

We need to find the actual volume of the cylinder.

Firstly, we can find the error in the calculation as follows :

$E=54.5 \times \dfrac{4.25}{100}=\pm2.316$

It is mentioned in the problem that, the teacher told her that she was 4.25% too high in her determination of the volume. It would mean that,

Total volume = 54.5 + 2.316 = 56.816 cm³

Hence, the actual volume of the cylinder is 56.816 cm³.