Math, asked by sakshi69366, 1 year ago

the circumference of the base of a cone is 44cm & slant height is 25cm. Find CSA of cone.

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Answered by azizshagufta
2

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Answered by Anonymous
61

\Large{\underline{\underline{\bf{AnSweR:-}}}}

\Large{\underline{\underline{\bf{GiVen:-}}}}

Círcumfєrєncє σf thє вαsє = 2πr = 44 cm²

Slαnt hєíght ( l ) = 25 cm

wє knσw thαt,

❥ Slαnt hєíght = √ ( r² + h² )

Usíng thє gívєn ínfσrmαtíσn wє cαn fínd σut thє rαdíus σf thє cσnє.

❥ 2πr = 44

❥ r = 44 / 2π

❥ r = 44 × 7/44

❥ r = 7

\Large{\underline{\underline{\bf{SoLuTion:-}}}}

Suвstítutíng ín thє slαnt hєíght fσrmulα wє gєt,

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❥ 25 = √ ( 7 )² + h²

squαríng σn вσth sídєs wє gєt,

❥ 25² = 7²  + h²

❥ 625 = 49 + h²

❥ 625 - 49 = h²

❥ 576 = h²

❥ h = √576 = 24

Curvєd surfαcє αrєα σf cσnє = πrl

❥ CSA σf cσnє = 22/7 × 7 × 25

❥ CSA σf cσnє = 550 cm²

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