Multiple choice

The radius of the base and the height of a right circular cone are $7$ cm and $24$ cm respectively Find the total surface area of the cone

  1. $704$ cm$\displaystyle ^{2}$
  2. $70.4$ cm$\displaystyle ^{2}$
  3. $7.04$ cm$\displaystyle ^{2}$
  4. $0.704$ cm$\displaystyle ^{2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Slant height l = sqrt(r^2 + h^2) = sqrt(7^2 + 24^2) = 25. Total surface area = pi*r*(r + l) = (22/7)7(7 + 25) = 22 * 32 = 704.

AI explanation

First find the slant height of the right circular cone using the Pythagorean theorem, which is the square root of (7 squared plus 24 squared) equaling 25 cm. The total surface area of a cone is pi times r times (l + r), so substituting the values gives 22 over 7 times 7 times (25 + 7). This evaluates to 22 times 32, giving a total surface area of 704 square cm.

Keep practicing — related questions