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How heavy is 370 grains?

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It's about one-twentieth as heavy as a Football (Soccer)
In other words, 370 grains is 0.06 times the weight of a Football (Soccer), and the weight of a Football (Soccer) is 18 times that amount.
(a.k.a. Soccer, a.k.a. Association Football) (FIFA Law 2 specification)
According to FIFA's Law of the Game number 2, a football must weigh between 6,300 grains and 6,900 grains. An artifact on display at the Smith Art Gallery in Museum in Stirling, Scotland is said to be the world's oldest football and is about one-third to one-half the size of a modern football.
It's about one-fifteenth as heavy as a Football (American)
In other words, 370 grains is 0.0583251231527 times the weight of a Football (American), and the weight of a Football (American) is 17.14527027027 times that amount.
(a.k.a. "pigskin") (NFL standard)
Per National Football League official rules, an American football must weigh between 6,125 grains and 6,562.50 grains. Because of NFL regulations, ceremonial considerations, and backup requirements, each NFL Superbowl requires the manufacture of 144 balls exclusively for the event.
It's about one-fifteenth as heavy as a Can of Soup
In other words, 370 grains is 0.07 times the weight of a Can of Soup, and the weight of a Can of Soup is 14 times that amount.
(for Campbell''s Condensed Tomato Soup, 317.9 ml)
A can of Campbell''s Tomato Soup weighs 5,400 grains. Cans have been used to store soup and other foods since their invention in 1913, but a dedicated can opener was not developed until cans began to use thinner materials — prior to that time, cans were usually opened using various blunt instruments and tools.
It's about one-fifteenth as heavy as a Human Heart
In other words, 370 grains is 0.08 times the weight of a Human Heart, and the weight of a Human Heart is 13 times that amount.
(human; adult)
The average human heart weighs about 4,800 grains. Each minute, the heart pumps between 10 and 20 liters (3 to 5 gallons) of blood through its chambers.
It's about one-tenth as heavy as a Hamster
In other words, 370 grains is 0.1 times the weight of a Hamster, and the weight of a Hamster is 10 times that amount.
(for Syrian hamster, a.k.a. golden hamster, a.k.a. Mesocricetus auratus; adult)
An adult Syrian hamster has a typical weight of about 3,000 grains. Known for transporting food in the pouches of their cheeks so that they can bury it later, some hamsters can store up to 400,000 grains of food in their borrows.
It's about one-tenth as heavy as a Billiard Ball
In other words, 370 grains is 0.14708074534161 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 6.7989864864867 times that amount.
(American-style, WPA specifications)
Per the World Pool-Billiard Association, a billiard ball weight must weigh between 2,406.250 grains and 2,625 grains. According to legend, the difficulty in obtaining elephant ivory for the manufacture of billiard balls in the 19th century inspired the search for a replacement material, which led to the development of the first industrial plastic.
It's about one-tenth as heavy as a Puck (Hockey)
In other words, 370 grains is 0.14708074534161 times the weight of a Puck (Hockey), and the weight of a Puck (Hockey) is 6.7989864864867 times that amount.
(Ice hockey)
A standard ice hockey puck weighs between 2,406.250 grains and 2,625 grains. Hockey pucks can be shot or passed at speeds of up to 160 kph (99 mph) during games.