Question

the surface area of sphere is 2464 sq cm.find it's volume​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\large \underline{\sf{given : }}$

$\blue{ \sf{surface \: area \: of \: sphere = 2464cm \: {}^{2} }}$

$\large \underline{\sf{to \: find : }}$

$\pink{ \sf{volume \: of \: sphere}}$

$\large \underline{\sf{solution: }}$

$\green{ \sf{surface \: area \: of \: sphere \: = 2464 \: cm {}^{2} }} \\ \green{ \sf{4 \: \pi \: r {}^{2} = 2464 \: cm {}^{2} }} \\ \green{ \sf{4 \times \frac{22}{7} \times r {}^{2} = 2464 \: cm {}^{2} }} \\ \green{ \sf{r {}^{2} = \frac{2464 \times 7}{4 \times 22} }} \\ \green{ \sf{r {}^{2} = 196 }} \\ \green{ \sf{r = \sqrt{196} }} \\ \underline{\green{ \sf{r = 14}}}$

$\purple{ \sf{volume \: of \: sphere = \frac{4}{3} \pi \: r {}^{3} }} \\ \purple{ \sf{volume \: of \: sphere = \frac{4}{3} \times \frac{22}{7} \times (14) {}^{3} }} \\ \purple{ \sf{ = \frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14}} \\ \purple{ \sf{ = \frac{176 \times 196}{3} }} \\ \purple{ \sf{ = \frac{34496}{3} }} \\ \purple{ \sf{ = 11498.66}}$

$\boxed{\pink{ \sf{volume \: of \: sphere = 11498.66}}}$