Question

what is the density of a can of tomato sauce with a diameter of 10 cm height of 11.5 cm and a mass of 822 grams?

Answer 1

We will have the following:

First, we determine the volume of the tomato sauce can:

`\begin{gathered} V=\pi r^2h \\ \\ \Rightarrow V=\pi(5cm)^2(11.5cm)\Rightarrow V=287.5\pi cm^3 \end{gathered}`

Now, we determine the density of the object:

`\begin{gathered} \rho=(m)/(V) \\ \\ \Rightarrow\rho=(822g)/(287.5\pi cm^3)\Rightarrow\rho=(1644)/(575\pi)g/cm^3 \\ \\ \Rightarrow\rho\approx0.91g/cm^3 \end{gathered}`

So, the density of the object is approximately 0.91 g/cm^3.