What is the volume of a tumbler having height of 21 cm and the radii of both circular ends are 15 cm and 7 cm? 

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  1. 9000 cm3
  2. 8338 cm3
  3. 8383 cm3
  4. 8000 cm3

Answer (Detailed Solution Below)

Option 2 : 8338 cm3
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Detailed Solution

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Given:

Height =  21 cm

R = 15 cm

r = 7 cm

Formula:

Volume of Frustum = \(\frac{\pi H}{3}\)(R+ Rr + r2

Calculation:

F3 Madhuri SSC 16.01.2023 D3

Volume of the Tumbler = \(\frac{22}{7}×\frac{21}{3}\)(152 + 15 × 7 72

⇒ 8338 cm3 

∴ The volume of a tumbler 8338 cm3 

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