Suppose two cylindrical tubes with the same diameter intersect at right angles. If the diameter of each tube is 6 cm, find the volume of the common part between the tubes. Use the prismatoid formula.

Question

alekos · Answer

this requires a double integral to solve. Are you familiar with this?

anonymous · Answer

no, but can you please help me :(

alekos · Answer

what level of maths are you studying?

anonymous · Answer

math 13 and math 10-3

alekos · Answer

is that college or high school?

anonymous · Answer

its college

alekos · Answer

Check out this....... http://math.stackexchange.com/questions/494249/find-the-volume-common-to-two-circular-cylinders-each-with-radius-r-if-the-axe

alekos · Answer

or this......... http://www.math.tamu.edu/~Tom.Kiffe/calc3/newcylinder/2cylinder.html

anonymous · Answer

Looks like thesites will give you the answer. An approximate value could be obtained by looking at the intersection of two rectangular solids of square cross-sections, first squares that fit into the cylindrical circle, then squares that just contain the cylindrical circle, then use these as upper and lower bounds or maybe take their average. These  intersections will be cubes.

anonymous · Answer

thank you for the tips. I'll try and solve them

alekos · Answer

or on youtube http://www.youtube.com/watch?v=obZjO8_VIX4