ఒక శంఖువు యొక్క ఎత్తు మరియు ఏటవాలు ఎత్తు వరుసగా 20 సెం.మీ మరియు 25 సెం.మీ., శంఖువు యొక్క పరిమాణాన్ని కనుగొనండి.

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

Answer (Detailed Solution Below)

Option 1 : 1500π
Free
RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
100 Qs. 100 Marks 90 Mins

Detailed Solution

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ఇచ్చినవి :

శంఖువు యొక్క ఎత్తు = 20 సెం.మీ.

శంఖువు యొక్క ఏటవాలు ఎత్తు = 25 సెం.మీ.

ఫార్ములా:

శంఖువు యొక్క పరిమాణం = [1/3]πr2h

l 2 = r 2 + h 2

లెక్కింపు:

ప్రశ్న ప్రకారం

252 = r2 + 202

⇒ 625 = r2 + 400

⇒ r2 = 625 – 400

⇒ r2 = 225

⇒ r = 15

శంఖువు పరిమాణం = [1/3] × π × 15 × 15 × 20 = 1500π

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