Total Surface Area of Cone
Total Surface Area of Cone
Total Surface Area of Cone:
Total surface area of cone = Curved surface area + Area of the base
Illustration: Find the total surface area of a cone, if its slant height is 12 m and the radius of its base is 9 m.
Solution: We know that the total surface area S of a right circular cone of radius r and slant height l is given by S= .
Here, r = 9 m and l = 12 m.
Therefore
Illustration: The total surface area of a cone is If the slant height of the cone be 8 cm, find the radius of the base.
Solution: Given: Area of the curved surface of a cone is and slant height of the cone = 8 cm
Also, we know that the Total surface area of the cone
As l = 8, hence we have
As r cannot be negative, So we must have
Hence, radius of the base is
Find the total surface area of the cone if the slant height is 3.5 cm and the radius of the base is 14 cm. | |||
| Right Option : B | |||
| View Explanation | |||
Find the total surface area of a right circular cone with radius 6 cm and slant height 8 cm. | |||
| Right Option : C | |||
| View Explanation | |||
Find the total surface area of a cone, if its slant height is 21 m and the diameter of its base is 24 m. | |||
| Right Option : A | |||
| View Explanation | |||
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