The base area of aright circular cone is 13.86 sq. cm ant it's slant height is 8cm.Find the curved surface area of the cone.
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Given:-
- Base area of a right circular cone = 13.86 cm²
- Slant height of the cone = 8cm
To Find:-
- Curved Surface Area of the cone.
Note:-
- Refer to the attachment for the figure.
Solution:-
We know, the base of a cone is in the shape of circle.
We also know,
✭ Area of circle = πr² sq.units.
Hence,
πr² = 13.86
⇒ 22/7 × r² = 13.86
⇒ r² = 13.86 × 7/22
⇒ r² = 0.63 × 7
⇒ r² = 4.41
⇒ r = √4.41
⇒ r = 2.1
∴ Radius of the base of the cone is 2.1 cm
Now,
We know,
✭ Curved Surface Area of the cone = πrl sq.units.
Hence,
CSA of the cone = 22/7 × 2.1 × 8
⇒ CSA = 22 × 0.3 × 8
⇒ CSA = 52.8 cm²
∴ The CSA of the cone is 52.8 cm²
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Other Formulas Related to Cones:-
- Volume of cone = 1/3πr²h cu.units
- TSA of cone = πr(r + l) sq.units
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Note:-
- l stands for slant height
- h stands for the altitude (or height).
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Anonymous:
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