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

${\displaystyle =4\pi r^2}$

${\displaystyle =4\times \pi \times {\left(3\right)}^2}$

${\displaystyle =36\pi c{m}^2}$

Area of the circular sheet ${\displaystyle =\pi r^2}$

Therefore,

Surface area of sphere = area of the circular sheet

${\displaystyle \pi r^2=36\pi }$

    ${\displaystyle r=6cm}$

Therefore,

Diameter of the sheet = 2 × 6 = 12 cm