A cone of radius 10cm is divided into two parts by drawing a plane through the mid-point of its axis, parallel to its base .Compare the volume of two parts
No idea how the answer is 1:7
2007-02-17 23:43:54 · 4 answers · asked by p 1 in Science & Mathematics ➔ Mathematics
If you cut the cone thus, you get a cone congruent to the original but of half the height *plus* a frustum. The former will be (½)^3 = 1/8 of the volume of the original while the latter will be 1 - (½)^3 = 7/8 of the volume of the original. Thus the ratio is
(1/8) :(7/8) = 1:7.
2007-02-17 23:52:58 · answer #1 · answered by MHW 5 · 0⤊ 0⤋
Well, the volume of cone = 1/3 pi* r^2*h
Also, the h/r ratio of a cone remains constant.
Using this you can get all volumes in 1 variable, which will cancel out.
2007-02-18 08:00:54 · answer #2 · answered by nayanmange 4 · 0⤊ 0⤋
I'm not bothered to work it out. But I think the volume of a cone is one third times pi times radius squared times height.
2007-02-18 07:54:10 · answer #3 · answered by Alex DB 3 · 0⤊ 0⤋
Top part: Bottom part is 1:7
2007-02-18 10:01:31 · answer #4 · answered by Anonymous · 0⤊ 0⤋