Imagine this: a regular cylinder with an initial height of 10 cm and a width of 1 cm. Then it was cut diagonally from its 8-cm mark on 1 side to the 7-cm mark on the opposite side. Now, compute for the volume.
This question is tricky and requires mathematical logic to be solved. The first one to answer quickly but correctly, and concisely but completely, will merit the 10 points! You only have 4 days to answer until this question expires.
Answering starts...NOW!!!
2006-08-19 19:28:59 · 12 answers · asked by fictitiousness ;-) 2 in Science & Mathematics ➔ Mathematics
Please ONLY compute for the volume of the cut cylinder, the "new" one. And yes, thanks for the correction, it's diameter, not width.
2006-08-19 19:50:24 · update #1
Ok, let's divide this "new" cylinder-type shape into two parts. The first part is actually a cylinder, of height 7 cm and diameter 1 cm:
pi * r^2 * h
pi * .25 * 7 = 5.498 cubic cm
The other part is a 1 cm by 1 cm cylinder cut diagonally in half:
(pi * r^2 * h) / 2
(pi * .25 * 1) / 2 = 0.393 cubic cm
Add them together, and you get the "new" shape:
5.498 + 0.393 = 5.892 cubic cm
2006-08-27 15:32:33 · answer #1 · answered by hawk22 3 · 0⤊ 0⤋
2
2006-08-19 19:31:50 · answer #2 · answered by Anonymous · 0⤊ 1⤋
Three parts can be identified in this case, that is, a cylinder of 7cm high and 1 cm wide, a cylinder of 2cm high and 1cm wide, a cylinder 1cm high and 1cm wide,cut diognaly.
Thus the volumes of the two parts created are,
7x22/7+22/7, 2x22/7+22/7
One part is 9.43 cm3 and the other 25.14cm3
2006-08-24 23:10:50 · answer #3 · answered by Subakthi D 2 · 0⤊ 0⤋
you know friend a cylinder has no width only diameter or radius. Eventhough what volume will we compute the original one or the those of the two new cylinder since the original one was cut.
2006-08-19 19:44:09 · answer #4 · answered by yar2005 2 · 0⤊ 0⤋
OK I'll take a wack at it: I presume you mean diameter when you say width.
Let's find the volume of the 7cm column first
Pi x r squared
3,14 x .5 squared == .785cm x 7 = 5.495 cubic cm
now the volume of the diagonal cylinder
3.14 x .5 squared x 1 == .785 cubic cm.
since it is in effect sliced in half it would be
.785 divided by 2 or.3925 cc
add 5.495 and .3925 and the answer is
5.8875 cubic cm.
SandieClaws
2006-08-25 13:51:32 · answer #5 · answered by SANDY CLAWS 2 · 0⤊ 0⤋
clearly the volume of any clyinder is iits base times its height
ithe volume of the cut cylinder = the volume of a 8cm high cylinder minus 1/2 the volume of a 1cm high cylinder
cut cyl = 8cm *PI (1/2)^^2 cm^^2 - 1/2(1cm*PI*(1/2)^^2cm^^2) =
PI (8 /4 -1/8) cu cm = 1 7/8 PI cu cm
2006-08-23 16:21:57 · answer #6 · answered by walter_b_marvin 5 · 0⤊ 0⤋
v= (d*d)*h
=1*1*1
=1
2006-08-27 18:35:14 · answer #7 · answered by shamsheer a 1 · 0⤊ 0⤋
Ha, trick question, its no longer a cylinder once it has been cut diagonally.
here is how to compute the volume of the object you have created.
vol cyclinder =pi X radius^2 X height
vol of object = 3.14 x 0.5 x 0.5 x 7 + 1/2*(3.14 * 0.5 *0.5 *1)
= 5.5 + 0.79
= 6.28 cubic cm
Ten points thanks!
2006-08-25 01:05:58 · answer #8 · answered by uselessadvice 4 · 0⤊ 0⤋
i could probably have given you the correct answer if you had given the radius or the diameter of cylinder but i do not know how a cylinder can have width.
2006-08-19 19:49:13 · answer #9 · answered by Anonymous · 0⤊ 1⤋
The section from 0 to 7 has a volume of (0.5)^2(pi)(7)
The second from 8 to 10 has a volume of (0.5)^2(pi)(2)
The section cut from 7 to 8 shares exactly half of it's area with the top and bottom. (0.5)^2(pi)(0.5) on top and the same on the bottom.
Total volume of bottom = (0.5)^2(pi)(7.5) = 15/8(pi)
Total volume of top = (0.5)^2(pi)(2.5) = 5/8(pi)
2006-08-19 19:37:29 · answer #10 · answered by Michael M 6 · 1⤊ 0⤋