Math, asked by rakshitkatoch, 11 months ago

solve this question I will make you brainlist​

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Answers

Answered by fazaltraders2929
4

i have found r.u find its volume

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Answered by Anonymous
6

Solution

Given:-

  • Surface area of sphere = 2464 cm²

Find:-

  • Volume of sphere = ?

Explanation

Important Formula

Surface area of sphere = 4.π.r²

Volume of sphere = 4/3. π.r³

So,

==> Surface area of sphere = 2464

==> 4.π.r² = 2464

==> r² = 2464/4 * 1/(π)

==> r² = 2464/4 × 7/22

==> r² = 112 × 7 /4

==> r² = 28 × 7

==> r² = 7 × 4 × 7

==> r = √(7 × 7 × 2 × 2)

==> r = 7 × 2

==>r = 14 cm

Now, calculate volume of sphere ,

==> Volume of sphere = 4/3. π .r³

==> Volume of sphere = (4/3) . (22/7).(14)³

==> Volume of sphere = 4/3 × 22/7 × 14×14×14

==> Volume of sphere = 4/3 × 22 × 2×14×14

==> Volume of sphere = 34,496/3

==> Volume of sphere = 11,498.66 cm³

Hence

  • Volume of sphere is 11,498.66 cm³
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