The area of the base of a cone is 616 cm2. If its slant height is 20 cm, then what is the total surface area of the cone? [Use π = 22/7]
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1496 cm2
Given that
The area of the base of a cone is 616 cm2
Slant height (l) = 20 cm
Formula used
Total surface area (TSA) of a cone = πr(r + l)
Area of the base of a cone = πr2
where, the radius of the base of the cone is 'r' and the slant height of the cone is 'l'
Calculation
⇒ πr2 = 616
⇒ r2 = 196
⇒ r = 14 cm
Now, TSA = 22/7 × 14 (14 + 20) = 44 × 34 = 1496 cm2