Math, asked by s9552213, 21 days ago

the curved surface area of a right circular cylinder is 308cm square slant height 14cm . the radius of the base is​

Answers

Answered by Itzheartcracer
7

Answer:

Radius = 7 cm

Step-by-step explanation:

Given :-

  • CSA of right circular cylinder = 308 cm²
  • Slanght height = 14 cm

To Find :-

Radius of its base

Solution :-

We know that

CSA of right circular cylinder = πrl

=> 308 = 22/7 × r × 14

=> 308 = 22 × r × 2

=> 308 = 44r

=> 308/44 = r

=> 7 = r

Therefore

Radius of its base is 7 cm

Answered by TheAestheticBoy
7

Question :-

  • The curved surface area of a right circular cylinder is 308 cm² . The Slant Height is 14 cm . Find the Radius base .

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Answer :-

  • Radius base of Cylinder = 7 cm .

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Explanation :-

  • Here, Curved Surface Area of cylinder is given 308 cm² . Slant heigh is 14 cm . And, we have to calculate Radius of the base .

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Using Concept :-

  • \sf{Curved \: Surface \: Area =  \pi rh}

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Where ,

  • R denotes to Radius .
  • H denotes to Height .

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By substituting the given values :-

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 \Longrightarrow \:  \:  \sf{308 = \frac{22}{7} \times r  \times 14} \\

\Longrightarrow \:  \:  \sf{308 =  \frac{22}{1}  \times r \times 2} \\

\Longrightarrow \:  \:  \sf{308 =  \frac{44}{1} \times r } \\

\Longrightarrow \:  \:  \sf{ Radius =  \frac{308}{44} } \\

\Longrightarrow \:  \:  \sf{Radius = 7 \: cm} \\

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Hence :-

  • Radius base of Cylinder = 7 cm .

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