Multiple choice

The ratio between the radius and height of a cone is 3 : 4. If height is 24 cm. then what is the volume of the cone?

  1. 2293 cm3

  2. 2346 cm3

  3. 2472 cm3

  4. 2592 cm3

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Given radius:height = 3:4 and height = 24 cm, so radius = 18 cm. Volume of cone = (1/3)πr²h = (1/3) × π × 18² × 24 = (1/3) × π × 324 × 24 = π × 324 × 8 = 2592π ≈ 8143 cm³. Since 2592 cm³ is NOT the volume (that would be without π), and all specific options A-D are incorrect, the correct answer is E. Option D (2592) would be correct only if π = 1, which is false.

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