Date: Wed, 11 Oct 2006 12:46:45 -0400 (EDT) Subject: Density of Marbles Vs. Bowling Balls Google Search: marbles + official http://www.streetplay.com/thegames/marbles/tourney.shtml "All marbles in any one playing ring must be of uniform size. The standard size shall be five-eighths inch in diameter. Slight variation may be allowed by the referee for manufacturing fault. Shooters shall be round and made of any substance except steel or any other metal, and shall not be less than one-half inch nor more than six-eighths inch in diameter as determined by the referee." ***TO-DOs*** (x) Use digital balance to measure mass of marble. Use calipers to measure the diameter of marbles; calculate volume of a sphere. Calculate density. Volume (sphere) = 4 x pi x r(3) / 3 ...or... V = pi x d(3) / 6 SMALLER MARBLE: mass: 3.60g diameter: 1.38cm V = 8.25cc/6 = 1.375cc D = 3.60g / 1.375cc = ~2.62 g/cc (2.618) (MARC) RIVERS' MARBLE: mass: 5.30g diameter: 1.6cm V = 12.86cc /6 = 2.14cc D = 5.30g / 2.14cc = ~2.48 g/cc (2.476) Bottom line: Marbles sink in water! -- (x) Use Science Olympiad bathroom scale to measure the weight of bowling ball. Columbia 300 9B57030 (green swirl) Weight = ~9-10 lb, +/- 1 lb (estimated inaccuracy of scale) 10 pound = 4.5359237 kilograms (4,535.9237 grams) == Related Question: What is the volume of a regulation bowling pin? == http://en.wikipedia.org/wiki/Bowling_ball "Regulation ten-pin bowling balls must weigh between 6 and 16 pounds (2.7-7.2 kg) and have a diameter of 8.5 inches (21.6 cm). Since the physical size of regulation balls is the same, while the weight may differ, lighter balls are much less dense than heavier ones. Thus, 6-10 pound balls will actually float when placed in water." -- Google Search: 6 lb = ? kg 6 pound = 2.72155422 kilograms Google Search: 10 lb = ? kg 10 pound = 4.5359237 kilograms -- http://www.lerc.nasa.gov/WWW/K-12/airplane/volume.html Volume of sphere V = pi x d(3) / 6 V = 3.14 x 21.6cm x 21.6cm x 21.6cm / 6 V = 31,643.96544cc / 6 V = 5,273.99424 cc -- 6lb ball D = m/v D = 2,721.55g / 5,273.99cc D = 0.5160 g/cc 10lb ball D = m/v D = 4,535.92g / 5,273.99cc D = 0.8600 g/cc -- D = m/v D = 5,273.99g / 5,273.99cc D = 1.0 g/cc Google Search: 5.27399 kg = ? lb 5.27399 kilograms = 11.6271577 pound <-- ball would have neutral buoyancy == HOCKEY PUCK: mass: 161.13g diameter: 7.5cm (radius: 3.75cm) height: 2.5 cm Volume (cylinder) = pi x r(2) x h V = 3.14 x 3.75cm x 3.75cm x 2.5cm V = 110.39cc D = m/v D = 116.13g / 110.39cc D = ~1.46 g/cc (1.4596) Bottom line: Hockey puck sinks in water!