The height and radius of a cone-shaped storage tank are 9 ft. and 7 ft., respectively. Find the volume of water the tank can hold? (Use \pi=(22)/(7))

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. 1423 cubic ft.
  2. 462 cubic ft.
  3. 1386 cubic ft.
  4. 527 cubic ft.

Answer (Detailed Solution Below)

Option 2 : 462 cubic ft.
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Detailed Solution

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Given:

Height (h) = 9 ft.

Radius (r) = 7 ft.

Formula Used:

Volume of a cone (V) = (1/3) × π × r2 × h

Calculation:

V = (1/3) × (22/7) × 72 × 9

⇒ V = (1/3) × (22/7) × 49 × 9

⇒ V = (1/3) × 22 × 7 × 9

⇒ V = (1/3) × 1386

⇒ V = 462 cubic ft.

∴ The correct answer is option (2).

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