Question

the mass of an iron ball is 312 g . The density of iron is 7.8 cm-3 . Find the volume of the ball.​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

• Mass = 312 gm

• Density = 7.8 per cm³

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• Volume of the ball

$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

$\underline{\:\textsf{Let's try to know about density :}}$

• Density is defined as mass per unit volume .It describes the total space taken by any object.

$\tt{\large{\boxed{\bold{\bold{\green{\sf{Density=\dfrac{Mass}{Volume}}}}}}}}$

Here : -

•D = Density

•M = Mass

•V = Volume

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$\underline{\:\textsf{Now, put the given values in the formula :}}$

$\longrightarrow \tt{7.8=\dfrac{312}{V}}$

$\longrightarrow \tt{V\times{7.8}=312}$

$\longrightarrow \tt{V=\dfrac{312}{7.8}}$

$\longrightarrow \tt{V=\dfrac{312\times{10}}{78}}$

$\longrightarrow \tt{V=\cancel\dfrac{3120}{78}}$

$\bf{ \longrightarrow V = 40\: g/cm³}$

$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ The volume of the ball is \textbf{40g/cm³}}}.$

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