Question

The volume of metallic cylindrical pipe is 2112 cm . Its length is 21 cm and its external radius is 9 cm find its thickness

Answer 1

Question:-

• The volume of metallic cylindrical pipe is 2112 cm . Its length is 21 cm and its external radius is 9 cm find its thickness.

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$\boxed{ \sf \blue{ Understanding\: the \: Question }}$

• In this question we have to find the thickness . For this first we have to find the internal radius. After that we have to Minus both the radius to find the thickness.

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Given:-

1. Volume = 2112cm
2. Height = 21cm
3. External Radius = 9cm

Let's do it :-

$\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\red{\:\pi \: ( \: {R}^{2} \: - \: {r}^{2} \: ) \: \times \: h \: = \: volume }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \frac{22}{7} \: ( \: {9}^{2} \: - \: {r}^{2} \: ) \: \times \: 21 \: = \: 2112 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 66 \:( \: 81 \: - \: {r}^{2} \: ) \: = \: 2112 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: ( \: 81 \: - \: {r}^{2} \: ) \: = \: \frac{2112}{66} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: ( \: 81 \: - \: {r}^{2} \: ) \: = \: 32 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 81 \: - \: 32 \: = \: {r}^{2} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 49\: = \: {r}^{2} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \sqrt{49} \: = \: Radius \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \green\implies \underline\red{ \boxed{\displaystyle \sf \bold\orange{\: 7\: = \: Internal \: Radius }} }\\ \\\end{gathered}\end{gathered}$

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$\green{\boxed{ \sf \blue{ For \: finding \: Thickness\: }}}$

$\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\red{ Thickness \: = \:Outer \: Radius \: - \: Inner \: Radius \: }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: Thickness\: = \: 9 \: - \: 7 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \green\implies \underline\red{ \boxed{\displaystyle \sf \bold\orange{\: Thickness\: = \: 2 cm}} }\\ \\\end{gathered}\end{gathered}$

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So, thickness = 2 cm

Answer 2

Answer:

1) 1188

2) ₹92400

this is the answer for the question