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How heavy is 370 grains?

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It's about one-fifteenth as heavy as a Football (American)
In other words, 370 grains is 0.05832512315271 times the weight of a Football (American), and the weight of a Football (American) is 17.145270270270 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, the weight of a Can of Soup is 14 times 370 grains.
(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, the weight of a Human Heart is 13 times 370 grains.
(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, the weight of a Hamster is 10 times 370 grains.
(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 0.147080745341610 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 6.79898648648670 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 0.147080745341610 times the weight of a Puck (Hockey), and the weight of a Puck (Hockey) is 6.79898648648670 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.
It's about one-fifth as heavy as a Baseball
In other words, 370 grains is 0.165017421602790 times the weight of a Baseball, and the weight of a Baseball is 6.0599662162161 times that amount.
(MLB rules)
Per Major League Baseball rules, a baseball must weigh between 2,187.50 grains and 2,296.8750 grains. A major league pitcher can throw a baseball at up to 150 kph (91 mph) (with a fastball pitch), with record-setting pitches as fast as 171 kph (106 mph).