Math, asked by singhkri17, 7 months ago

Find the volume of a right circlar cylinder if the radi (r)of its base and hight are 14 cm and 24 cm respectively​

Answers

Answered by sethrollins13
78

Given :

  • Radius of the base of Cylinder is 14 cm .
  • Height of Cylinder is 24 cm .

To Find :

  • Volume of Cylinder .

Solution :

\longmapsto\tt{Radius(r)=14\:cm}

\longmapsto\tt{Height(h)=24\:cm}

Using Formula :

\longmapsto\tt\boxed{Volume\:of\:Cylinder=\pi{{r}^{2}h}}

Putting Values :

\longmapsto\tt{\dfrac{22}{{\cancel{7}}}\times{{\cancel{14}}}\times{14}\times{24}}

\longmapsto\tt{22\times{2}\times{14}\times{24}}

\longmapsto\tt\bf{14,784\:{cm}^{3}}

So , The Volume of Cylinder is 14,784 cm³ ...

_______________________

  • C.S.A of Cylinder = 2πrh
  • T.S.A of Cylinder = 2πr(r+h)
  • Volume of Cylinder = πr²h

_______________________

Answered by Steph0303
50

Answer:

Volume of Cylinder is given by the formula: πr²h

Given that, radius of the base is 14 cm and height of the cylinder is 24 cm, we get:

⇒ Volume of cylinder = π × 14 cm × 14 cm × 24 cm

⇒ Volume of cylinder = 22/7 × 14 cm × 14 cm × 24 cm

⇒ Volume of cylinder = 22 × 2 cm × 14 cm × 24 cm

⇒ Volume of cylinder = 14784 cm³

Hence the volume of the cylinder is 14,784 cm³

Extra Information related to the question:

Right circular cylinder refers to a case, where the line joining the centre of bases is perpendicular to the radius.

Conversion information:

→ 1 cm³ = 1 ml

→ 1000 cm³ = 1 l

→ 1000000 cm³ = 1 m³

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