The curved surface area of a cone is 308 sq.em and its radius is 7 em. Find
the total surface area of the cone.
Answers
Answer:
Given,
The curved surface area (CSA) of a cone = 308cm²
Radius = 7 cm
Let the slant height be'ℓ'
CSA of cone = πrℓ
308 = 22 × 7 × ℓ
-----
7
308 = 22 × ℓ
ℓ = 308
---------
22
ℓ = 14 cm
∴ Slant height of the cone = 14 cm
Total surface area of the cone (TSA) = ∏r ( ℓ + r)
= 22 × 7 ( 14 + 7)
-------
7
= 22 × 21
= 462 cm²
∴ TSA of the cone = 462 cm²
HI GOOD SOUL HERE.
HERE IS YOUR ANSWER MATE.
HEY U HAVE SOME SPELL ERROR IN QUESTION IT IS CM YOU GIVEN AS EM.
GIVEN:
C.S.A: 308 SQ CM
RADIUS: 7 CM
TO FIND:
T.S.A: ?
SOLUTION:
C.S.A = πRL =308 ........1
R = 7 ..........2
T.S.A = πRL + πR SQUARE ........3
SUBSTITUTE 1 & 2 IN 3:
T.S.A = 308 + π7 SQUARE
T.S.A = 308 + 49π
T.S.A = 308+49×22/7
T.S.A = 462 SQ CM
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