After graduation, Radkevich was commissioned as an ensign on 22 June 1872 — with a date of seniority of 11 August 1871 — into the 19th Artillery Brigade at Stavropol in the Caucasus Military District.
In 1874 he was sent to Saint Petersburg for admission to the Nikolaev Engineering Academy, but he could not pass the examinations returned for service in the same brigade.
Promoted to staff captain with a date of seniority of 12 September 1876, Radkevich participated in the Russo-Turkish War of 1877–1878.
For serving with distinctions during the war, he was awarded two orders and promoted to captain on 6 November 1878, with a date of rank of 6 September 1877.
On 30 July 1889, Radkevich was promoted to lieutenant colonel, and on the same day he became the commander of the 6th Battery of the 3rd Regiment of the 31st Artillery Brigade at Belgorod in the Kiev Military District.
On 3 December 1902 he took command of the 10th Artillery Brigade in the V Army Corps at Łódź in the Warsaw Military District.
On 11 December 1904, he became chief of artillery of the 6th Siberian Army Corps, and in that position participated in the Battle of Sandepu in January 1905.
After the Russo-Japanese War ended in August 1905, Radkevich remained in command of the 72nd Infantry Division.
For his performance in these operations, Radkevich was awarded the Order of Saint George Fourth Class.
In October and November 1914, the 10th Army fought local battles without any connection with the main operations on the Eastern Front.
The retreat exposed the left flank of the 20th Army Corps, which the Germans subsequently surrounded and defeated in the vicinity of the Augustów Forest.
Even the German General Erich Ludendorff expressed admiration for Radkevich's actions.
G. D. Plaskov, then a cadet, recalled in 1969 in Under the Roar of the Cannonade: A 72-year-old Radkevich, a former tsarist general, left a fond memories.
Before starting classes, Radkevich opened his bag and laid out tiny sandwiches on a snow-white napkin.
"Sir Junker, do not offend the old mother" — so he called his wife — "she prepared it for you, eat, we still have left, do not be shy!"
He wiped his sweating face and said in a voice that allowed no objections: "Come on, gentlemen, show your calendars.
Somehow he brought a beautiful folder, pulled out from it photographs of his sons, officers, just like him, who had switched over to serve the people.
"And you know, in 1915, I presented to His Majesty the Emperor of Russia documents on the subject of the assignment of the rank of Colonel Nikolai Iosifovich Bettikher; in those years he commanded a heavy artillery division for me..." And it became clear to us why the commandant of the school was pulled at the sight of this teacher.
Maps, schemes of various scales hung on the walls, [and] educational exhibits were neatly arranged.
Radkevich's wife was Elena Ivanovna Rodkevich nee Linovitskaya (1859-1935), the daughter of an Imperial Russian Army colonel, who acquired a secondary education.
Radkevich's eldest son, Vadim Evgenievich Rodkevich (13 June 1886, Tsarskoye Selo – 19 May 1937), graduated from the Second Moscow Cadet Corps.
Deemed like his mother a "particularly dangerous element" by the Soviet government, he was arrested on 17 March 1935 and sent to Orenburg for five years.
On 3 March 1937, he was sentenced by the Special Conference of the NKVD to five years in prison for participating in a counter-revolutionary organization and was imprisoned at Buzuluk, where he died.