The cone of 24 cm has base diameter 14 cm find.:
The slant height of cone
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Given Diameter of cone = 14 cm
Radius of cone (r) = Diameter ÷ 2 = 14 ÷ 2 = 7cm
Height of cone (h) = 24 cm
Now curved surface area of cone = πrl
where l is the slant height of cone
So to find the Curved surface area, we need to find slant height ( l )
which can be found by Pythagoras theorem
i.e.
=> l² = r² + h²
=> l² = 7² + 24 ²
=> l² =49 +576
=> l² = 625
=> l =√625
=> l = 25cm
Therefore curved surface area of cone =
πrl
=> 22/7× 7×25
=> 22× 25
=> 550 cm
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