Multiple choice

In right circular cone, the radius of its base is 7 cm and its height 24 cm. A cross-sectron is made through the midpoint of the height parallel to the base the volume of the upper portion is- किसी शंकु के आधार की त्रिज्या 7 सेमी. है और उसकी ऊँचाई 24 सेमी है और उसके आधार के समांतर उसकी ऊँचाई के बीच से एक भाग काटा गया है। इस भाग का आयतन क्या होगा ?

  1. 169 cm3/सेमी3

  2. 154 cm3/सेमी3

  3. 1078 cm3/सेमी3

  4. 800 cm3/सेमी3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a cone is cut at mid-height (12 cm), the upper portion forms a smaller similar cone with height 12 cm. By similar triangles, the radius at the cut is half of base radius = 3.5 cm. Volume = (1/3) × π × (3.5)² × 12 = 49π ≈ 154 cm³. Option A (169) is incorrect calculation, option C (1078) is the full cone volume, and option D (800) has no relation.

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