Question
Download Solution PDFयदि 30 सेमी ऊँचाई वाले एक लंब वृत्तीय शंकु का आयतन 160π सेमी³ है, तो इसके आधार का व्यास ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
शंकु का आयतन (V) = 160π सेमी³
ऊँचाई (h) = 30 सेमी
प्रयुक्त सूत्र:
शंकु का आयतन, V = (1/3) x π x r² x h
जहाँ r = आधार की त्रिज्या
गणना:
160π = (1/3) x π x r² x 30
⇒ 160 = (1/3) x r² x 30
⇒ 160 x 3 = r² x 30
⇒ 480 = r² x 30
⇒ r² = 16
⇒ r = 4 सेमी
व्यास = 2 x r
⇒ व्यास = 2 x 4 = 8 सेमी
इसलिए, सही उत्तर विकल्प (4) है।
Last updated on Jul 19, 2025
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