Math, asked by Sanjeewani, 2 days ago

If volume of the cylindrical tank is 154 m² and radius of the tank is 7 m. find height. of the tank.​

Answers

Answered by shubhsagarsinha
0

Step-by-step explanation:

Volume of cylinder= πrsquare h

154=22÷7×49×h

154=154h

h=154÷154

h=1 ans

Answered by Yugant1913
7

Step-by-step explanation:

Given information

  • ⇀Volume of the cylindrical tank is 154m²
  • ⇀ Radius of the cylindrical tank is 7m

What we have to calculate

  • ⇀We have ask to calculate height of cylindrical tank

Let's calculate

➡️In this question, the volume of cylindrical tank is given (154m²) So we have to compare that volume with formula which can be expressed as

  \\ \large \longmapsto  \underline{\boxed{ \bf{ \green{Volume_{(cylindrical \; tank)} \:  = \pi {r}^{2} h}}}}  \red\bigstar \\

Where ,

  • π is 22/7
  • r is radius = 7
  • h is height not given

Now we will substituting the values in our formula, we get

\implies \qquad \qquad \: \sf  \red{Volume_{(cylindrical \; tank)}} = \pi {r}^{2} h \\  \\  \\  \implies \qquad \qquad \: \sf  \ {154}^{}  =  \dfrac{22}{7}  \times  {7}^{2}  \times h \\  \\  \\\implies \qquad \qquad \: \sf  \ {154} =  \dfrac{22}{ \cancel7}   \times 7 \times  \cancel7 \times h \\  \\  \\ \implies \qquad \qquad \: \sf  \ {154} = 22 \times 7 \times h \\  \\  \\ \implies \qquad \qquad \: \sf  \ {154} = 154 \times h \\  \\  \\ \implies \qquad \qquad \: \sf  h =   \cancel \dfrac{154}{154} \\  \\  \\ \implies \qquad \qquad \: \sf  \  \large \boxed{ \underline{{ \bf \: height = 1}}}

 \\  \\  \large{ \textbf{ \textsf{ \:Hence required height of cylindrical tank is 1m }}}

 \underline  \blue{\rule{75mm}{1.5mm} }

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