Math, asked by labishnanafes, 9 months ago

An iron rod is made after melting 550cm³ iron if daimeter of the rod is 1 cm find the length of iron rod

Answers

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{#ffdfff}{700 cm}}$ or $\huge\boxed{\fcolorbox{red}{#ffdfff}{7 m}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

Volume of the given iron, V = $550 \: {cm}^{3}$
Diameter of the rod, D = 1 cm

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

Length of the cylindrical rod .

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Surface Area and,
Volume of solids

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

let r be the radius of the rod.

and, h be the height of the rod ( or the length of the rod )

$\large{ \therefore \: \: , \: r = \frac{D}{2} = \frac{1}{2} cm = 0.5 \: cm}$

Now, we know that,

Volume of the cylindrical rod,

$\Large{ \longmapsto V = 550 \: {cm}^{3} }$

$\Large{ \implies \pi {r}^{2} h = 550 \: {cm}^{3} }$

$\Large{ \implies \frac{22}{7} \times {(0.5)}^{2} \times h = 550 \: {cm}^{3} }$

$\Large{ \implies \frac{ {}^{1} \cancel{22} }{7} \times 0.25 \times h = \cancel{550} \: {}^{25} \: }$

$\Large{ \implies h = ( 25 \times \frac{100}{25} \times 7) \: cm}$

$\Large{ \implies h = ( {}^{1} \cancel{25} \times \frac{100}{ \cancel{25} _1} \times 7 \: )cm}$

$\Large{ \implies h = ( 100 \times 7) \: cm}$

$\Large{ \implies h = 700 \: centimetres}$

$\Large{ \implies h = 7 \: metres}$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

Length / Height of the cylindrical rod $=$ $\large\boxed{700 cm}$ or $\large\boxed{7 m}$

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Answered by MihirRaj11

Answer:

The above answer is correct and to the point.

Step-by-step explanation:

I hope that .........this answer would help you the best.

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An iron rod is made after melting 550cm³ iron if daimeter of the rod is 1 cm find the length of iron rod​

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An iron rod is made after melting 550cm³ iron if daimeter of the rod is 1 cm find the length of iron rod