A solid metal sphere of 6 cm diameter is melted and a circular sheet of thickness 1 cm is prepared. Determine the diameter of the sheet.
Diameter of sphere = 6 cm
Radius = 3 cm.
Surface area of sphere
`=4 xx pi xx (3)^2`
` = 36pi cm^2`
Area of the circular sheet `=pir^2`
Surface area of sphere = area of the circular sheet
`pir^2 = 36pi`
`r = 6cm`
Diameter of the sheet = 2 × 6 = 12 cm