Multiple choice

What is the largest number of pipes of the shape of right circular cylinders with length 10 cm. and radius 1 cm. that can be fitted into a box, all of whose sides are 20 cm. in length? 10 सेमी. लम्बी और 1 सेमी. त्रिज्या की सम वृत्तीय बेलनाकार की कितनी पाइपों को एक बॉक्स में रखा जा सकता है, जिसकी सभी भुजाओं की लम्बाई 20 सेमी. है?

  1. 800

  2. 400

  3. 200

  4. None of these/ इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The box is a 20cm × 20cm × 20cm cube with volume 8000 cm³. Each pipe is a cylinder with length 10cm, radius 1cm, so volume = π(1)²(10) = 10π ≈ 31.4 cm³. If we could pack perfectly with no wasted space, maximum pipes = 8000/31.4 ≈ 255 pipes. However, cylindrical packing efficiency in a rectangular box is much less than 100% due to gaps between cylinders. Options A (800), B (400), and C (200) all assume unrealistic packing scenarios. The actual maximum is significantly less than 200, making 'None of these' the correct answer.