A football of radius 7 cm has hexagon shapes all over its surface of side 3.2 cm side. What is the number of such hexagons on the ball?

23

The number of hexagons on football = \(\frac{T.S.A.\;of\;sphere}{area\;of\;hexagon}\) 

T.S.A. of sphere = 4 \(\pi \)r²

                        = 616 cm²

Area of hexagon = 6  × \(\frac{\sqrt {3}}{4} {side}^2\)

                       = \(\frac{3}{2}\) \(\sqrt {3}\) × (3.2)²

                       = 26.624 cm²

No. of hexagons = \(\frac{616}{26.64}\) = 23