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?
Answer & explanation
Correct answer: option 2
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