Multiple choice

If the radius of the base of a cone be 7 cm and its curved surface area be 550 sq. cm, then the volume of the cone is

  1. 1132 sq.cm

  2. 1324 sq.cm

  3. 1232 sq. cm

  4. 1024 sq. cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Curved surface area = πrl = 550, so 22/7 × 7 × l = 550, giving l = 25 cm. Using Pythagorean theorem: h = √(l² - r²) = √(625 - 49) = √576 = 24 cm. Volume = (1/3)πr²h = (1/3) × (22/7) × 49 × 24 = 1232 cm³.

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