math
posted by gaurav .
The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this crosssection showing 19 identical fuel rods:
a) If the diameter of the cylindrical shell is 12.35 cm, calculate the shaded area of the crosssection.
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?

Got no diagram, so I have no idea how the rods are packed into the shell.
Anyway, assuming a rod of radius r, the crosssection of a rod is pi r^2
The crosssection 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 
4189.9

a math for a math
Respond to this Question
Similar Questions

science
_____ contain a fuel, rods to control nuclear reactions, and a cooling system. Would Nuclear reactor work? 
Chemistry
42. Tell the function of the moderator and control rods in a nuclear reactor. I found this answer on google..is it correct? 
Maths
The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this crosssection showing 19 identical fuel rods: a) If the diameter of the one rod is 2.8cm, calculate the shaded area of the crosssection. … 
Physics
A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.35 103 m, and that of the outer shell is 2.49 103 m. When the cylinders carry equal and opposite charges of … 
Physics
Two thin and identical steel rods move with equal speeds v=1 m/s in opposite directions and collide longitudinally. The collision is perfectly elastic and the rods swap their velocities. How long does the collision last in seconds … 
heeeeeeeelp physics
Two thin and identical steel rods move with equal speeds v=1 m/s in opposite directions and collide longitudinally.The collision is perfectly elastic and the rods swap their velocities. How long does the collision last in seconds if … 
Physics
A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.40 103 m, and that of the outer shell is 2.53 103 m. When the cylinders carry equal and opposite charges of … 
Physics
Consider an insulating sphere with 10 microCoulombs of charge uniformly distributed through its volume. The sphere is surrounded by a conducting spherical shell that has a total charge of 3 microCoulombs. Outside the conucting shell … 
Physics please HELP
Consider an insulating sphere with 10 microCoulombs of charge uniformly distributed through its volume. The sphere is surrounded by a conducting spherical shell that has a total charge of 3 microCoulombs. Outside the conucting shell … 
Calculus
The outside radius of a thin openended cylindrical shell (of height 10 feet) is 12 feet. If the shell is 1 inch thick, use differentials to approximate the volume of the region interior to the shell.