Question

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.

Answer 1

Diameter of sphere = 6 cm

Therefore,

Radius = 3 cm.

Therefore,

Surface area of sphere

`=4pir^2`

`=4 xx pi xx (3)^2`

` = 36pi cm^2`

Area of the circular sheet `=pir^2`

Therefore,

Surface area of sphere = area of the circular sheet

`pir^2 = 36pi`

    `r = 6cm`

Therefore,

Diameter of the sheet = 2 × 6 = 12 cm