Question

The mass of the cylinder is 50000 g find the density of the cylinder to the nearest tenth

Answer 1

Please consider the diagram of cylinder.

We have been given that the mass of the cylinder is 50000 g. We are asked to find the density of the cylinder.

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Let us find the volume of our given cylinder.

$V=\pi r^2 h$, where

r = Radius,

h = Height.

We know that radius is half the diameter, so radius of given cylinder would be $\frac{28}{2}=14$ mm.

$V=\pi\cdot(14 \text{ mm})^2\cdot 30\text{ mm}$

$V=\pi\cdot 196\text{ mm}^2\cdot 30\text{ mm}$

$V=\pi\cdot 5880\text{ mm}^3$

$V=18472.5648031\text{ mm}^3$

$\text{Density}=\frac{50000\text{ g}}{18472.5648031\text{ mm}^3}$

$\text{Density}=2.7067167192510906\cdot \frac{\text{g}}{\text{ mm}^3}$

$\text{Density}\approx2.7\frac{\text{g}}{\text{ mm}^3}$

Therefore, the density of the cylinder is approximately 2.7 gram per cubic mm.