Math, asked by girishkatariya0503, 1 month ago

Find the volume of a sphere whose

surface area is 154 cm2

Answers

Answered by ABHINAV012
4

Answer:

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Step-by-step explanation:

Given , TSA  \: of \:  Sphere = 154cm²

To Find : Volume  \: of  \: Sphere

Now , we \:  know \:  that :

TSA \:  of  \: sphere = 4πr²

=> 4πr² = 154

= 4× \frac{22}{7} ×r²= 154

= r² = \frac{154×7}{4×22}

= r² = \frac{49}{7}

= r = \frac{7}{2}

Volume  \: of \:  sphere =  \frac{4}{3} πr³

=>  \frac{4}{3}  ×  \frac{22}{7}  × \frac{7}{2} × \frac{7}{2} × \frac{7}{2}  cm³

=   \frac{539}{3}

= 179.66cm³

therefore , volume \:   \\ of \:  sphere \:  is \:  179.66cm³.

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