शंकूची उंची आणि तिरकस उंची अनुक्रमे 20 सेमी आणि 25 सेमी आहे, शंकूचे घनफळ काढा.
 

  1. 1500π
  2. 1200π
  3. 1000π
  4. 8000π

Answer (Detailed Solution Below)

Option 1 : 1500π
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Detailed Solution

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दिलेले:

शंकूची उंची = 20 सें.मी.

शंकूची तिरकस उंची = 25 सेमी

सूत्र:

शंकूचे घनफळ  = [1/3]πr2h

l2 = r2 + h2

हिशोब:
 
प्रश्नानुसार,
 

252 = r2 + 202

⇒ 625 = r2 + 400

⇒ r2 = 625 – 400

⇒ r2 = 225

⇒ r = 15

∴ शंकूचे घनफळ = [1/3] × π × 15 × 15 × 20 = 1500π

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