Question
Download Solution PDFএকটি নিরেট শঙ্কুর বক্র পৃষ্ঠতলের ক্ষেত্রফল ভূমির ক্ষেত্রফলের দ্বিগুণ, যার তির্যক উচ্চতা 6√3 সেমি। এর উচ্চতা হল:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
শঙ্কুর বক্র পৃষ্ঠতলের ক্ষেত্রফল = 2 × শঙ্কুর ভূমির ক্ষেত্রফল
অনুসৃত ধারণা:
অনুসৃত সূত্র
শঙ্কুর তির্যক উচ্চতা (l) = √r2 + h2
শঙ্কুর CSA = πrl
গণনা:
ধরা যাক, শঙ্কুর ব্যাসার্ধ r একক
⇒ πrl = 2πr2
⇒ l = 2r
⇒ r = 6√3/2
⇒ r = 3√3
শঙ্কুর তির্যক উচ্চতা (l) = √r2 + h2
⇒ 6√32 = 3√32 + h2
⇒ h2 = 108 - 27 = 81
⇒ h = 9 সেমি
∴উত্তর হল 9 সেমি।
Last updated on Jul 19, 2025
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