What is the ratio of a basketball to a basketball hoop?

size of basket ball:

The International Basketball Federation (FIBA) has very strict criteria for its certified basketballs: The ball must be size 7, bear the name of the manufacturer and a serial number. It must be made of either genuine or artificial/synthetic leather and must be free of toxic materials and materials which may cause allergic reactions, and must also be free of heavy metals and AZO colors, though FIBA does not specify a specific color for the ball. It must between 749 millimeters (mm) and 780 mm in circumference, it must bounce at least 1300 mm when dropped from a height of 1800 mm on a hard surface with a mass of more than 1 ton, and it must weigh between 567 grams (g) and 650 g. The ball must also pass a battery of rigorous tests: a fatigue test where it is bounced 20,000 times at a reference pressure without leaking any air, and then perform to specification when dropped from the reference height (1800 mm); a heat test where it is stored in a room for 7 days at 70 degrees Celsius and show no difference in appearance of performance; a valve test where after a dry inflation needle is inserted into the ball 100 times. The ball must not show any leakage; and a friction test where the outer surface must match or exceed friction requirements or perform to the testers' satisfaction in a practice game. The manufacturer of the ball must have been certified by FIBA, which entails submitting balls for testing and paying a $3,000 testing fee, paying $13,000 per year in licensing fees, and printing the FIBA logo on each ball. Any manufacturer may submit for testing and certification.

The National Collegiate Athletic Association (NCAA) has less stringent requirements: The ball must measure between 29.5 and 30 inches in circumference, bounce between 49 and 54 inches when dropped from a height of 6 feet, and must weigh between 20 and 22 ounces for men's competition (size 7), and measure between 28.5 and 29 inches in circumference , bounce between 51 and 56 inches when dropped from a height of 6 feet, and must weigh between 18 and 20 ounces for women's competition (Size 8). Though the NCAA does not specify a particular manufacturer for the ball in regular season play, the Wilson SOLUTION basketball is the official basketball of the NCAA tournament. [3]

The National Basketball Association (NBA) allows only one official ball: The ball must be the official NBA game ball manufactured by Spalding. The ball is orange in color, 29.5 inches in circumference and weighs 22 ounces (size 7). It must also be inflated to between 7.5 and 8.5 pounds per square inch. Starting in the 2006 season, the NBA switched to a new ball from Spalding that had a synthetic surface and a modified rib pattern (See section below). Until 2005 the ball had a leather surface. On December 11, 2006 the NBA decided to revert back to the old leather ball due to numerous player complaints, lawsuits and injuries from the synthetic ball[4]. Spalding has manufactured the official NBA game ball since 1983

Size of hoop:

the best I can find shows a diameter of 0.45m

( http://en.wikipedia.org/wiki/Basketball_court ) so it probably best to use the metric cicumference given above (749-780mm)

the circumference of the hoop will be pi x D which is 1414mm

so the ratio is between 749/1414 = .53 and 780/1414 = .55

I suggest to comfirm the sizes yourself, maybe the basketball coach can check them

Basketball Hoop And Ball

I believe the ratio to be 2:1. The hoop is twice the diameter of the ball. The ball must have a decent chance to drop into the hoop.

I remember from junior high gym class, the coach said two basketballs side by side will fit through the hoop. I have never seen this done, though.

I estimate about fifty percent.

that is an interesting question