Question

Find the diameter of the sphere for the following : 

Surface Area = `576pi`cm²

Answer 1

Surface Area = `576pi`cm²

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