Homework Help: math

Posted by gaurav on Monday, October 10, 2011 at 7:15pm.

The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this cross-section showing 19 identical fuel rods:

a) If the diameter of the cylindrical shell is 12.35 cm, calculate the shaded area of the cross-section.

b) If the length of the cylindrical shell is 84.50 cm, what is the volume of the shaded space around the fuel rods?

c) What is the volume of a single fuel rod?

math - Steve, Monday, October 10, 2011 at 11:47pm
Got no diagram, so I have no idea how the rods are packed into the shell.

Anyway, assuming a rod of radius r, the cross-section of a rod is pi r^2

The cross-section of the shell is pi * 12.35^2 = 152.52 pi = 479.16 cm^2

The shaded space is thus 479.16 - 19* pi r^2 = 479.16 - 59.69r^2

Multiply that by 84.50 to get 40489.0 - 5043.8r^2 cm^3

Volume of a single rod (assuming the same length as the shell) is 84.5 * pi r^2 = 265.46 r^2 cm^3
math - Anonymous, Tuesday, October 11, 2011 at 5:18am
4189.9
math - doris, Monday, February 27, 2012 at 3:26pm
a math for a math

Answer this Question

Related Questions

Maths - The fuel rods for a certain type of nuclear reactor are bundled into a ...
Chemistry - 42. Tell the function of the moderator and control rods in a nuclear...
science - _____ contain a fuel, rods to control nuclear reactions, and a cooling...
Chemistry - The most abundant isotope of uranium,238U , does not undergo fission...
Physical Science - What fuel other than uranuin can be used in a nuclear reactor...
science - What fuel other than uranium can be used in a nuclear reactor? Is the ...
Japan's Nuclear Crisis - How does nuclear fission create energy? Nuclear ...
Nuclear FIssion - How does nuclear fission create energy? Nuclear energy is ...
Physics - A capacitor is constructed of two concentric conducting cylindrical ...
chemistry - Any help with the following questions would be greatly appreciated! ...

For Further Reading

First Name:
School Subject:
Answer: