Subject
Quantitative Aptitude
Topic
Areas & Volumes
Two rectangular sheets of paper, each 30 cm × 18 cm are made into two right circular cylinders, one by rolling the paper along its length and the other along the breadth. The ratio of the volumes of the two cylinders, thus formed is -
Two rectangular sheets of paper, each 30 cm × 18 cm are made into two right circular cylinders, one by rolling the paper along its length and the other along the breadth. The ratio of the volumes of the two cylinders, thus formed is -
ক)
2:1খ)
3:2গ)
4:3ঘ)
5:3Explanation
(30 cm × 18 cm মাপের দুটি আয়তাকার কাগজের শীটের একটিকে দৈর্ঘ্য বরাবর ও অন্যটিকে প্রস্থ বরাবর মুড়িয়ে দুটি দুটি সমবৃত্তভূমিক সিলিন্ডারে পরিণত করা হলো।সিলিন্ডারদ্বয়ের আয়তনের অনুপাত কত) দৈর্ঘ্য বরাবর ব্যাসার্ধ r 1 হলে 2πr 1 =30 r 1 =30/2π অতএব আয়তন V 1 =πr 1 2h 1 =π ×(30/2π) 2 ×18cm 2 =(15 2 /π )×18 cm2 একইভাবে দ্বিতীয় সিলিন্ডারের ব্যাসার্ধ r 2 হলে 2πr 2 =18 r 2 =9/π h 2 =30 cm আয়তন=V 2 =πr 2 2h 2 =π × (9/π) 2 ×30 cm 2 =(9 2 ×30)/π এখন V1/V2={(15 2 ×18)/π} ÷ {(9 2 ×30)/π} =(15/9) 2 × (18/30) =(5/3) 2 ×18/30 =25/9 × 18/30 =5/3 অতএব 5:3Related questions
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