Question

Determine the density of a cylindrical solid with a mass of 19.8 g, a diameter of 9.5 mm, and a length of 20.8 mm in g/cm3. Pi = 3.14ROUND ANSWER TO ONE DECIMAL PLACE.

Answer 1

gDensity is a property of matter that relates the mass to its volume, we can calculate it with the following equation:

`\rho=(M)/(V)`

Where,

`\begin{gathered} \rho\text{ is the density of the substance} \\ M\text{ is the mass of the substance}=19.8g \\ \text{V is the volumen of the substance} \end{gathered}`

Now, we have to calculate the volume of the solid. We do that by calculating the volume of a cylinder. The equation is:

`V=\pi* r^2* h`

Where,

Pi=3.14

r= Radius = Diameter/2 = 9.5mm/2=4.75mm =0.475cm

h = Length = 20.8mm = 2.08cm

We replace the values:

Now, we replace the known values in the density equation:

So, the density of a cylindrical solid with a mass of 19.8g is 13.4g