Question

Find the diameter of the sphere for the following : 

Volume = `72pi "cm"^3`

Answer 1

Volume = `72pi "cm"^3`

Volume of sphere = `4/3pir^3 = 72pi`

⇒ `4/3pir^3 = 72pi`

⇒ `4/3 xx r^3 = 72`

⇒ `r^3 = (72 xx 3)/4 = 216/4`

⇒ `r^3 = 54`

⇒ `r = 3 root(3)(2)` cm

Radius = `3 root(3)(2)` cm `3 root(3)(2)` ⇒ Diameter = 2r = `6 root(3)(2)` cm  `root(3)(2)`