Question

Density is defined as mass per unit volume. A solid cylinder has a diameter of 17.4 mm and a length of 50.3 mm. Its mass is 49 g. What is its density? Give your answer in metric tonnes per cubic metre. (The metric tonne is 1000 kg.)

Enter your answer as a number, using the appropriate number of sig figs. Do NOT include units*.

Density = _____  tonnes⋅m−3


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Answer 1

Given :

Diameter of the cylinder = 17.4mm = 17.4×10⁻³m

Length of the cylinder = 50.3mm = 50.3×10⁻³m

Mass of the cylinder = 49g

To Find :

The density of the cylinder

Solution :

• The density of a body is directly proportional to mass and inversely proportional to the volume of the body

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

• By Substituting the values in the above relation

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

            $Density = \frac{49\times 10^{-6}}{\pi \times 8.7^{2} \times 50.3\times 10^{-9}}$

            $Density = 4 \:metrictonnes/meter\:cube$

The density of the cylinder is 4 metrictonne/cubic meter