The figure shows a solid consisting of a cylinder of height h and a hemisphere of radius r. The area of the curved surface of the cylinder is twice that of the hemisphere. Find the ratio volume of cylinder：volume of hemisphere.
http://i.imgur.com/dlJEEgr.png
A. 1:3
B. 2:3
C. 3:4
D. 3:2
E. 3:1
解不出答案,求解,thanks.
CE1993數學卷二 第17題 求解
2013-07-19 7:29 pm
回答 (1)
2013-07-20 12:21 am
✔ 最佳答案
首先hemisphere surface area=(4π r^2) /2 =2π r^2cylinder curved surface area= 2π r h
give that 2π r h= 2 (2π r^2)
r h= 2 r^2
h=2r
volume of cylinder = π r^2 h = π r^2 (2r) =2π r^3
volume of hemisphere =(4/3)(π r^3) / 2 = 2/3 π r^3
好明顯 3:1啦
收錄日期: 2021-04-13 19:34:12
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130719000051KK00111