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i have found r.u find its volume
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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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