Question

find the volume of the sphere whose surface area is 154 cm2

Answer 1

Surface area of sphere=154cm^2 
therefore, 4 × 22/7 × r^2=154 
r^2= 154×7/4×22 
r^2= 49/4 
r^2=7/2×7/2 
r^2=(7/2)^2 
r=7/2
Volume of sphere=4/3πr^3
=4/3×22/7×7/2×7/2×7/2
=179.63cm^3

Answer 2

aloha user!!
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we know that surface area of sphere is 4πr²
it is given to be 154cm²

4πr² = 154
$4( \frac{22}{7} ) r^{2} = 154 =\ \textgreater \ r^{2} = \frac{154}{4} ( \frac{7}{22} ) =\ \textgreater \ r^{2} = \frac{49}{4}$

r = √ 49/4
r = 7/2 cm

now we know that the volume of sphere = 4/3πr³

$\frac{4}{3} ( \frac{22}{7} ) ( \frac{7}{2} ) ( \frac{7}{2} ) ( \frac{7}{2} )=\ \textgreater \ \frac{539}{3} cm^{3} =\ \textgreater \ 179.6 cm^{3}$




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hope it helps :^)