Math, asked by Anonymous, 9 months ago

6 सेमी की त्रिज्या के एक गोले में एक घन अंतरित है, तो घन के बाहर गोले के अंश का घनफल निकालें।

Answer=572.6 cm^3.

Please solve it......... It's urgent!

Answers

Answered by BrainlyPopularman
1

Answer:

in \:  \: the \:  \: digram -  \\  \\ volume \:  \: of \:  \: sphere =  \frac{4}{3} \pi {r}^{3}  \\  \\  \:  \:  \:  \: volume \: =  \frac{4}{3} (\pi) \times  {(6)}^{3}  = 905.14  \: {cm}^{3}  \\  \\ and \:   \: for \: \: the \:  \: cube \:  =  >  \\  \\ diagonal(AC) \:  \:  = 2 \times 6 = 12 \\  \\ we \:  \: also \:  \: know \:  \: that \:  \:  -  \\  \\ 12 =  \sqrt{3} (side \:  \: of \:  \: cube) \\  \\ side \:  \: of \:  \: cube(a) = 4 \sqrt{3}  \\  \\ volume \:  \: of \:  \: cube \:  \:  =  {(a)}^{3}  =  {(4 \sqrt{3} )}^{3}   = 332.5 \:  {cm}^{3}  \\  \\  =  > so \:  \: remaining \:  \: volume \:  = 905.14 - 332.5  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 572.6 \:  {cm}^{3}

Hey dear , here is your answer...

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