2 days = 2×24 = 48 hours
To cover one round of clock by an hour hand,
time taken = 12 hours
So, in 48 hours an hour hand will take 4 round of clock.
Length of an hour hand = 6.3 cm
This hour hand will act as radius of circle.
So, distance covered in one round = circumference of circle = 2πr = 2×22/7×6.3 = 39.6 cm
So, distance covered in 4 round = 39.6×4 = 158.4 cm
Therefore, distance covered by an hour hand in 2 days is 158.4 cm.