Question

When water freezes its volume increases by 4%. What volume of water is required to make 221 cm of ice​

Answer 1

$\sf\bf\huge{\mathbb{GIVEN\::}}$

• $\sf{Volume\:Increases\:\leadsto\:4\:\%}$

${ }$

$\sf\bf\huge{\mathbb{FIND\::}}$

• $\sf{Volume\:of\:water\:when\:221\:cm\:of\:ice}$

${ }$

$\sf\bf\huge{\mathbb{SOLUTION\::}}$

• $\sf{Let\:Volume\:of\:water\:\leadsto\:x}$

$\:\:\:\:\:\::\:\Longrightarrow\footnotesize\sf\:{x\:+\:{\frac{4x}{100}}\:\Rightarrow\:{\frac{104x}{100}}\:\small\:\Rightarrow\:Volume\:of\:ice}$

$\:\:\:\:\:\::\:\Longrightarrow\:\therefore\sf\:{\frac{104x}{100}}\:\Rightarrow\:221\:cm^{3}$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{n\:\Rightarrow\:{\frac{221\:\times\:100}{104}}cm^{3}}$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{212.5\:cm}^{3}$

${ }$

$\:\:\:\:\:\:\:{\bold{\purple{\dag}}}\:{\underline{\sf{Volume\:of\:Water\:is\:{\bold{\red{\mathfrak{212.5\:cm}^{3}}}}}}}$

Answer 2

Answer:

olumeofwaterwhen221cmofice

{ }

\sf\bf\huge{\mathbb{SOLUTION\::}}SOLUTION:

\sf{Let\:Volume\:of\:water\:\leadsto\:x}LetVolumeofwater⇝x

\:\:\:\:\:\::\:\Longrightarrow\footnotesize\sf\:{x\:+\:{\frac{4x}{100}}\:\Rightarrow\:{\frac{104x}{100}}\:\small\:\Rightarrow\:Volume\:of\:ice}:⟹x+

100

4x

⇒

100

104x

⇒Volumeofice

\:\:\:\:\:\::\:\Longrightarrow\:\therefore\sf\:{\frac{104x}{100}}\:\Rightarrow\:221\:cm^{3}:⟹∴

100

104x

⇒221cm

3

\:\:\:\:\:\::\:\Longrightarrow\sf\:{n\:\Rightarrow\:{\frac{221\:\times\:100}{104}}cm^{3}}:⟹n⇒

104

221×100

cm

3

\:\:\:\:\:\::\:\Longrightarrow\sf\:{212.5\:cm}^{3}:⟹212.5cm

3

{ }

\:\:\:\:\:\:\:{\bold{\purple{\dag}}}\:{\underline{\sf{Volume\:of\:Water\:is\:{\bold{\red{\mathfrak{212.5\:cm}^{3}}}}}}}†

VolumeofWateris212.5cm

3