Math, asked by ujjawaal, 6 months ago

the circumference of the base of a cone is 44cm and its slant height is 25cm. find the volume and the curved surface area of the cone. ​

Answers

Answered by Anonymous
103

\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,

─━━━━━━⊱✿⊰━━━━━━─

❥ 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

vσlumє σf cσnє = 1/3 πr²h

❥ vσlumє σf cσnє = 1/3 × 22/7 × 49 × 24

❥ vσlumє σf cσnє = 154/3 × 24

❥ vσlumє σf cσnє = 154 × 8

❥ vσlumє σf cσnє = 1232 cm³

─━━━━━━⊱✿⊰━━━━━━─

Answered by yuvaram11
0

Answer:

Volume of cone  ≈366.19 &  CSA of cone    =  293.59

Step-by-step explanation:

the circumference of the base of a cone is 44cm

π r² = 44

r² =  44 / 3.14

  r² =  14.01

r = 3.74

Volume of cone = 1/3hπr²

                            V≈366.19

curved surface area of the cone =  πrl

                                                       =3.14 * 3.74 * 25

                                         CSA of cone    =  293.59

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