The radii of the top and bottom circular faces of a bucket in the shape of a frustum of a cone are 35 cm and 28 cm, respectively. Its capacity is 187.88 litres. What is the height of the bucket? (Take π =

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AAI Junior Assistant (Fire Service) Official Paper (Held On: 15 Nov 2022 Shift 1)
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  1. 45 cm
  2. 50 cm
  3. 60 cm
  4. 80 cm

Answer (Detailed Solution Below)

Option 3 : 60 cm
Free
ST 1: English
20 Qs. 20 Marks 25 Mins

Detailed Solution

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Given:

R = radius of the top circular face = 35 cm

r = radius of the bottom circular face = 28 cm

h = height of the bucket

Formula used:

Volume of frustum =

Volume of the frustum = 187.88 litres = 187.88 × 1000 cm3 = 187880 cm3

Calculations:

Volume of the frustum = 187880 cm3

⇒ h = 60 cm

∴ The correct answer is option 3.

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