Question

A cycling has a radius of 2.63 cm and a height of 1.72 cm a) Calculate the volume of the cylinder b) if the cylinder weight 78.53g, calculate its density and specific gravity.

Answer 1

The volume of a cylinder is calculated using the following formula:

$V=\pi\times r^2\times h$

Where r is teh radius of the base and h is the high:

$V=\pi\times(2.63\operatorname{cm})^2\times1.72cm=37.37cm^3$

As we know 1cm³=1ml

to calculate the density we just have to divide the mass by the calculated volume:

$\text{density}=\frac{78.53g}{37.37ml}=\text{ }2.10\text{ }\frac{g}{ml}$

The especific gravity is the density in relation to the density of water which is 1 g/ml therefore:

$\text{specific gravity =}\frac{density}{water\text{ density}}=\frac{2,10g/ml}{1g/ml}=\text{ 2.1}$