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Question
Find the diameter of the sphere for the following :
Volume = `523 17/21` cm3
Solution
Volume = `523 17/21` cm3
Volume of sphere = `4/3pir^3`
⇒ `4/3pir^3 = 523 17/21`
⇒ `4/3 xx 22/7 xx r^3 = 11000/21`
⇒ `r^3 = (11000 xx 7 xx 3)/(21 xx 4 xx 22) = 231000/1848`
⇒ `r^3 = 125`
⇒ r = 5 cm
Radius = 5 cm ⇒ Diameter = 2r = 10 cm
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