Sunday

March 1, 2015

March 1, 2015

Posted by **Sara** on Saturday, April 10, 2010 at 6:30pm.

- Itroductory Physical Science -
**drwls**, Saturday, April 10, 2010 at 8:44pmLet D be the diameter in cm. The number of shot in the tray is approximately 100/D^2. The equation is not accurate unless D<<10 cm. With a hexagonal arrangement of spheres, you can get about 119/D^2 speheres in. It depends upon how you arrange the spheres and how much loose space remains at the edges.

The same number fills the cylinder up to 20 cm^3. Calculate the number of spheres of diameter D that can occupy that volume with hexagonal close packing. According to a theorem of Gauss, 74% of the volume can be occupied by solid spheres, whose volume is pi*D^3/6, so the number of spheres also equals

0.74*20/(pi*D^3/6) = 28.3/D^3

28.3/D^3 = 100/D^2 ; therefore

D = 0.28 cm

You can complete the other questions with that information.

**Answer this Question**

**Related Questions**

Physical Science - A quantity of water is poured into a graduated cylinder, ...

physics - in Melbourne there used to be a huge shopping centre called "diamaru" ...

Science - Ethanol (grain alcohol) has a density of 0.789 grams per centimeter ...

Maths - a tray holds 2.3 liters of water when full (2300 cm3) Calculate the ...

chemistry - To determine the approximate mass of a small spherical shot of ...

Math - The bakery has a full tray of brownies. One customer comes in and buys 1/...

chemistry - A student estimated the volume of a liquid in a beaker to be 300 mL...

math - This is the Crailsheim water tower in Baden-Württemberg, Germany. Its ...

Physics - Glycerin is poured into an open U-shaped tube until the height in both...

PHYSICS - A 33 cm-tall, 6 cm-diameter plastic tube has a sealed bottom. 266 g of...