Keepers, who say the eastern black rhino has “bundles of energy”, will soon choose a name that matches his “big personality”.
He spent an hour running around and rolling in sand before heading off for a nap on Friday.
Most rhino births happen overnight, but the youngster surprised keepers by arriving just before 1pm on 31 July.
His mum, Malindi, also gave birth in 2013 to a female called Dakima.
“Malindi has bonded very well with her new calf during these important early days and, as an experienced mum, is doing a great job once again,” said the zoo’s curator of mammals, Tim Rowlands.
“The calf has bundles of energy and keepers will soon choose a name that perfectly matches his big personality.”
The eastern black rhino is listed as critically endangered on the International Union for the Conservation of Nature’s Red List.
It is feared there may be as few as 650 left in the wild.
The latest arrival means that 11 eastern black rhino calves have been born at Chester Zoo in the last 20 years.
Researchers monitor female rhinos’ hormone levels to work out the best time to introduce them to a partner.