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Find the diameter of the sphere for the following :

Surface Area = `576pi`cm^{2}

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#### Solution

Surface Area = `576pi`cm^{2}

Surface area = `4pir^2`

⇒ `4pir^2 = 576pi`

⇒ `4r^2 = 576`

⇒ `r^2 = 576/4`

⇒ `r^2 = 144`

⇒ r = 12 cm

Radius = 12 cm ⇒ Diameter = 2r = 24 cm

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