What is the total surface area of a cone whose curved surface area is 550 cm² and radius is 7 cm? (Take )
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 704.00 cm².
Curved surface area of a cone = πrl
Total surface area of a cone = πr(r + l)
Where r is the radius and l is the slant height
The curved surface area of the cone = 550 cm2
The radius of the cone = 7 cm
So, (22/7) × 7 × l = 550
⇒ l = 25 cm
Total surface area = πr(r + l) = (22/7) × 7(7 + 25) = (22/7) × 224 = 704 cm2
Therefore, the total surface area of the cone is 704 cm2.