If the diameter of the base of a cone is 10 cm and its slant height is 12 cm, then its curved surface area is ______.
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If the diameter of the base of a cone is 10 cm and its slant height is 12 cm, then its curved surface area is 188.571 approx.
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Given:
- The diameter of the base of a cone = 10 cm
- The slant height = 12 cm
To Find:
- The curved surface area of the cone.
Solution:
The formula to find the curved surface area of the base is given by,
C.S.A = π×r×l → {equation 1}
Where "r" is the radius of the cone, "l" is the slant height.
We need to find the radius using the given diameter,
⇒ Radius = Diameter/2 = 10/2 = 5 cm
On substituting the values in equation 1 we get,
⇒ C.S.A = 3.14×5×12 {multiplying the terms}
⇒ C.S.A = 188.4
∴ The curved surface area of the cone = 188.4
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