Question

If the total surface area of a sphere is 154cm2 .find its total volume

Answer 1

Answer:

Step-by-step explanation:

given that,

 Total Surface Area(TSA) = 154$cm^{2}$

 4$\pi$$r^{2}$ = 154$cm^{2}$

 4×22/7×$r^{2}$ = 154$cm^{2}$

 4$r^{2}$ = 154×7/22

 4$r^{2}$ =  7×7

 4$r^{2}$ =  49

 $r^{2}$ = 49/4

 $r^{2}$ = 12.25

 r = $\sqrt{12.25}$

 r = 3.5cm

volume of sphere = 4/3 ×$\pi$×$r^{3}$

                     = 4/3×22/7×3.5×3.5×3.5  

                     =  179.67$cm^{3}$

 

Hence,volume of sphere is 179.67$cm^{3}$

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