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Suptisree Biswas
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Asked: 2024-07-10T23:57:07+05:30 In:

If the surface area of a sphere is 2464 cm^2, then it's volume is

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100%10976/3 π cm^3 ( 1 voter )
0%10000/3 π cm^3 ( 0 voters )
0%10^5/3 π cm^3 ( 0 voters )
0%None of these ( 0 voters )
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If the surface area of a sphere is 2464 cm^2, then it's volume is

1 Answer

  1. Suptisree Biswas
    Knowledge Contributor

    According to the question, 4πr^2 = 2464
    => 4 × 22/7 × r^2 = 2464
    => r^2 = (2464 × 7)/(4 × 22)
    => r = √196
    => r = 14 cm
    Therefore, Volume of sphere = 4/3πr^3
    = (4/3π × 14 × 14 × 14) cm^3
    = 10976/3π cm^3
    Answer: The volume of sphere is 10976/3π cm^3.

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