Question

determine the density of a cylinder of rsdius 7 cm and height 10 cm. the weight of cylinder is 1.5 kg​

Answer 1

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Answer 2

Answer:

The density of the cylinder is 1000 kg/m³.

Explanation:

Given :

Radius of the cylinder, r = 7 cm

Height of the cylinder, h = 10 cm

Weight of the cylinder, m = 1.5 kg

To find :

the density of the cylinder

Solution :

We know that the density of a substance is it's mass per unit volume.

First, let's find the volume of the cylinder.

Volume of the cylinder is given by,

V = πr²h

Substituting the values,

$\sf V = \dfrac{22}{7} \times 7^2 \times 10 \\ \sf V = 22 \times 7 \times 10 \\ \sf V = 1540 \: cm^3 \\ \longmapsto \rm 1 cm^3 = 10^{-6} m^3 \\ \sf V = 1540 \times 10^{-6} m^3$

Volume of the cylinder = 1540 × 10^(-6) m³

Density = mass/volume

$\implies \sf Density = \dfrac{1.5}{1540 \times 10^{-6}} \\\\ \implies \sf Density \approx 0.1 \times 10^4 \: kg/m^3 \\\\ \implies \rm Density = 1000 \: kg/m^3$

Therefore, the density of the cylinder is 1000 kg/m³.