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Question
Find the volume of a sphere whose surface area is 154 cm2.
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Solution
In the given problem, we have to find the volume of a sphere whose surface area is given.
So, let us first find the radius of the given sphere.
Surface area of the sphere (S) = 154 cm2
Let the radius of the sphere be r cm
Now, we know that surface area of the sphere = `4pir^2`
So,
`154 = 4(22/7)(r)^2`
` r^2 = ((154)(7))/((4)(22))`
` r^2 = 12.25`
Further, solving for r
`r = sqrt(12.25)`
r= 3.5
Therefore, the radius of the given sphere is 3.5 cm.
Now, the volume of the sphere = `4/3 pi r^3`
`=(4/3)(22/7)(3.5)^3`
=179.66 cm2
Therefore, the volume of the given sphere is 179.66 cm2 .
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