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Probability

Question
CBSEENMA9003713

Find the volume of a sphere whose surface area is 55.44 cm2.  open parentheses straight pi equals 22 over 7 close parentheses

Solution

Let the radius of the sphere be r cm.
Then,
4πr2 = 55.44
rightwards double arrow space space 4 cross times 22 over 7 cross times r squared equals 55.44
rightwards double arrow space space space space space space space space r squared equals fraction numerator 55.44 cross times 7 over denominator 4 cross times 22 end fraction equals 4.41
rightwards double arrow space space space space space space space space r equals square root of 4.41 end root equals 2.1 space c m space space space space
therefore  Volume of the sphere  = 4 over 3 πr squared
           equals 4 over 3.22 over 7 left parenthesis 2.1 right parenthesis cubed
            = 38.808  cm3