Question

While determining the density of the material of a body, a student recorded the
following observations
(2)
(a) Mass of the body = 62.4 g
(b) Reading of the water level in the measuring cylinder without the body = 16.4 mL
(c) Reading of the water level in the measuring cylinder with the body = 24.4 mL
Based on these observations, what will be the density of material of the body in kg m-3?

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Answer 1

Answer:

7800 kg/m³

Explanation:

GIVEN -

Mass of the body = 62.4 g

Reading of the water level in the measuring cylinder without the body = 16.4 mL

Reading of the water level in the measuring cylinder with the body = 24.4 mL

CALCULATIONS

[Calculating the volume of the body]

We know, the volume of the substance is the volume of water displaced by the substance

Volume of water displaced by the substance = Reading of the water level in the measuring cylinder with the body  -  Reading of the water level in the measuring cylinder without the body = (24.4-16.4) mL = 8.0 mL

We know, 1 mL = 1 cm³

therefore, 8.0 mL = 8.0 cm³

Volume of the substance = 8.0 cm³

Density in g/cm³ =

$\frac{Mass-body}{Volume - body} = \frac{62.4g}{8cm^3} = 7.8 g/cm^3$

We also know,

1 g/cm³ = 1000 kg/m³

therefore, 7.8 g/cm³ = 7.8x1000 = 7800 kg/m³

ANSWER

The density of the material of a body is 7800kg/m³ based on the following three observations.