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Total surface area (T.S.A) = πrl+πr²
diameter => 24
radius. 24/2=>12.
Total Surface area of cone= π (12)(21)+π(12)²
=>π(252)+π(144)
=>396π (use 3.14 for π)
=>396x3.14
=>1243.44 is answer.
Answered by
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✏ Question :-
Find the total surface area of a cone , if its slant height is 21 cm and the diameter of its base is 24cm.
✏ Given :-
Slant height ( L ) = 21 cm
diameter of base of cone ( d) = 24 cm
∴ Radius of base of the cone (r) = 24/2 = 12 cm.
✏ To find :-
Total surface area of a cone = ?
✏ Formula used :-
___________________
Total surface area ( TSA) = πrL + πr² sq.units
___________________
✏ Solution :-
Total surface area ( TSA) = πrL + πr² sq.units
Here r = 12 cm and L = 21 cm
By substituting the terms we get ;
TSA = π (12)(21) + π(12)²
=> TSA =( 252 + 144 ) π
=> TSA = 396 π cm² (or) 396π sq.cm
Therefore the total surface area of cone is 396π sq.cm
_____________________
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