Question

Answet the following in detail:-


The mass of an iron ball is 800 g.What should be the volume of the ball if the density is 7.87 g cm^-3? Also find the density in the Sl unit and the realtive density.​

Answer 1

Answer :

Mass of the iron ball = m = 800 g

Density of the iron ball = ρ = 7.87 g cm^-3

Finding the volume :

Density = Mass/Volume

⇒ 7.87 = 800/Volume

⇒ Volume = 800/7.87

⇒ Volume = 101.65 cm³

Finding the density in SI unit :

⇒ (7.87 g/cm^-3) × 1000

⇒ 7870 kg/m^-3

Finding Relative Density :

⇒ Relative Density = Density of substance/Density of water

⇒ Relative Density = 7.87/1 = 7.87

Extra Information:

• Volume is the basic physical quantity and it expresses the three dimensional extent of an object.
• Mass is the amount of matter in a object. Mass and weight are not the similar quantities.
• Density is the measure of mass per unit of volume.
• Relative Density is the ratio of density of the substance to that of the density of water.

Answer 2

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$\underline{\frak{\quad Question : \quad}}$

The mass of an iron ball is 800 g. What should be the volume of the ball if the density is 7.87 g cm^-3 ? Also find the density in the Sl unit and the realtive density.

$\underline{\frak{\quad Answer : \quad}}$

• Volume = 101.65 cm³
• Density in SI unit = 7870 kg/m^-3
• Relative Density = 7.87

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$\underline{\frak{\quad Explanation : \quad}}$

★ For finding volume , using formula :

$\qquad\red\bigstar\:{\tiny{\underline{\boxed{\bf{\green{Density = \dfrac{Mass}{Volume}}}}}}}$

★ Putting all known values :

$\dashrightarrow\qquad\tt 7.87 = \dfrac{800}{Volume}$

★ By cross multiplication :

$\dashrightarrow\qquad\tt Volume = \dfrac{800}{7.87}$

$\dashrightarrow\qquad\tt Volume = \dfrac{\cancel{800}}{\cancel{7.87}}$

$\dashrightarrow\qquad{\boxed{\frak{ Volume = \pink{101.65\:cm^3}}}}\:\purple\bigstar$

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★ Finding density in SI unit :

$\dashrightarrow\qquad\tt 7.87 \:\times\:1000$

$\dashrightarrow\qquad{\boxed{\frak{\pink{ 7870\:kg/m^{-3}}}}}\:\purple\bigstar$

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★ For finding relative density , using formula :

$\qquad\red\bigstar\:{\tiny{\underline{\boxed{\bf{\green{Relative\:Density = \dfrac{Density_{(substance)}}{Density_{(water)}}}}}}}}$

★ Putting all known values :

$\dashrightarrow\qquad\tt Relative\:Density = \dfrac{7.87}{1}$

$\dashrightarrow\qquad{\boxed{\frak{ Relative \:Density = \pink{7.87}}}}\:\purple\bigstar$

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Hence,

• Volume = 101.65 cm³
• Density in SI unit = 7870 kg/m^-3
• Relative Density = 7.87

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