circumference of base of cone is 220/7 cm and slant height is 13 cm. find total surface area of cone
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circumference of base of cone is 220/7 cm and slant height is 13 cm. find total surface area of cone
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We know that the circumference of the base of cone is 220/7 cm . And the circumference of circle is 2πr .
Atq,
⇒ 2 π r = 220/7 cm
⇒ 2 × 22/7 × r = 220/7 cm
⇒ r = 220 × 7 × 2 / 22 × 7 cm
⇒ r = 20 cm .
Hence the radius is 20 cm .
Now , TSA of cone is given by ,
[tex]\large\boxed{\boxed{\red{\sf TSA_{cone}=\pi r ( l + r ) }}}[/tex]
⇒ TSA = π r ( l + r )
⇒ TSA = π r ( 20 cm + 13 cm )
⇒ TSA = 22/7 × 20 cm × 33cm .
⇒ TSA = 2074.28 cm² .
Hence the TSA of cone is 2074.28 cm².
[tex]\Large{\boxed{\pink{\sf TSA_{cone}= 2074.28cm^2}}}[/tex]