Multiple choice

If the curved surface area of a right circular cone is 3080 sq. cm and its slant height is 35 cm, then find its total surface area?

  1. 11088 sq. cm

  2. 1848 sq. cm

  3. 5544 sq. cm

  4. 2772 sq. cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Curved Surface Area (CSA) = pi * r * l = 3080. With l = 35, pi * r * 35 = 3080, so r = 3080 / (35 * (22/7)) = 28. Total Surface Area = CSA + pi * r^2 = 3080 + (22/7) * 28 * 28 = 3080 + 2464 = 5544 sq. cm.

AI explanation

Using the formula for the curved surface area of a cone, pi times r times l equals 3080, where the slant height l is 35 cm. This gives the radius r as 3080 divided by the product of pi and 35, which equals 28 cm. The total surface area formula is pi times r times the sum of l and r, so the area is pi times 28 times 63. Calculating this gives a total surface area of 5544 sq. cm.

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