Multiple choice

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the curved surface of the solid so formed.

  1. $188.57$
  2. $190.8$
  3. $185.3$
  4. $181.56$
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A Correct answer
Explanation

Revolving a 6-8-10 triangle about the 8cm side creates a cone with height h=8 and radius r=6. Slant height l = 10. Curved surface area = pi * r * l = 3.14159 * 6 * 10 = 188.49. Closest option is 188.57.

AI explanation

Revolving the right triangle about the 8 cm side forms a cone with a height of 8 cm and a radius of 6 cm. Using the Pythagorean theorem, the slant height is the square root of 6 squared plus 8 squared, which equals 10 cm. The curved surface area of a cone is pi * r * l, so multiplying pi by 6 cm and 10 cm gives 60 pi. Using pi as 22/7, the area becomes 188.57.

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