If the diameter of a hemisphere is 28 cm, then what is the volume of hemisphere?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 5749.33 cm3
  2. 6349.22 cm3
  3. 6728.11 cm3
  4. 5124.44 cm3

Answer (Detailed Solution Below)

Option 1 : 5749.33 cm3
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Detailed Solution

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Given:

The diameter of a hemisphere is 28 cm.

Concept used:

1. Volume of a hemisphere = 2πR3/3 (R = Radius)

2. Diameter = Radius × 2

Calculation:

Radius of the hemisphere = 28/2 = 14 cm

Now, the volume of the hemisphere

⇒ \(\frac {2π × 14^3}{3}\)

⇒ 17248/3 cm3 ≈ 5749.33 cm3

∴ The volume of the hemisphere is 5749.33 cm3.

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