Notice that steps are required to the following question and figures will not given.
14. A circular cone is divided into three portions A, B and C by planes parallel to the base as shown in the figure. The slant heights of the three portions are equal in length. Find the ratio of the volumes of portions A, B and C.
F3 Maths Chapter 4:Mensuration
2010-12-08 2:24 am
回答 (1)
2010-12-08 2:26 am
✔ 最佳答案
圖片參考：http://x60.xanga.com/535f465605733262704373/b209390169.jpg
Let the height of the cone be 3h :
A : (A+B) : (A+B+C) = h^3 : (2h)^3 : (3h)^3 = 1 : 8 : 27
A : B : C
= A : (A+B - A) : (A+B+C - (A+B) )
= 1 : (8 - 1) : (27 - 8)
= 1 : 7 : 19
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