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The 22-year-old's body was found hanging in her room, said Gulshan Police Station OC Abu Bakar Siddiki.
"Her relatives told us she hanged herself," he told bdnews24.com.
Her body has been sent to Dhaka Medical College Hospital from Gulshan's United Hospital for autopsy.
She had been taken there by her husband and his relatives, said OC Siddiki.
Risila, who walked the ramp for many fashion shows, was mother to a three-year-old daughter. Her husband is employed by a buying house in Narsinghdi.
Her daughter was staying with her grandmother at the time of her death.
She spoke to him over WhatsApp on Monday morning, he husband told police.
The motive behind her possible suicide was not yet known.