Question

A solid sphere has a radius of 1.5cm and a mass of 0.038kg.the relative density of the sphere is

Answer 1

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Answer 2

The relative density of the sphere is $2.68\ g/cm^3$.

Explanation:

It is given that,

Radius of the sphere, r = 1.5 cm

Mass of the solid sphere, m = 0.038 kg = 38 g

To find,

The relative density of the sphere.

Solution,

Let d is the relative density of the sphere. It is given by total mass per unit volume of the object such that,

$d=\dfrac{m}{V}$

V is the volume of sphere

$d=\dfrac{3m}{4\pi r^3}$

$d=\dfrac{3\times 38\ g}{4\pi (1.5\ cm)^3}$

$d=2.68\ g/cm^3$

So, the relative density of the sphere is $2.68\ g/cm^3$

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