If the volume of a sphere is 972π cm3, then find its radius.

This question was previously asked in
SSC CHSL 2021 (Held On : 24 May 2022 Shift 1)
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  1. 7 cm
  2. 6 cm
  3. 9 cm
  4. 8 cm

Answer (Detailed Solution Below)

Option 3 : 9 cm
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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Given:

Volume of the sphere is 972π cm3

Formula used:

Volume of sphere = (4/3)πr3

Calculation:

Let radius of the sphere be r

(4/3)πr3 = 972π

⇒ (4/3)r3 = 972

⇒ r3 = 972 × (3/4)

⇒ r3 = 729

⇒ r = 9

So, radius = 9 cm

∴ Its radius is 9 cm.

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