[計量] 一題計量麻煩大家了???

看板GRE (GRE入學考試)作者 (愛斯金恩金恩)時間15年前 (2011/03/07 23:42), 編輯推噓1(106)
留言7則, 4人參與, 最新討論串1/1
Q: the inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A 圓柱狀的 cannister is to be placed inside the box so that it stands upright when the closed box resets on one of its six faces. Of all such cannisters that could be used, what is the radius, in inches, of the one that has maximum volume?? ------------------------------------------------------------------------------ 選項有 A.3 B.4 C.5 D.6 E.8 answer:B 不過我是算C~~可能是我誤會題意了 我是用帶答案進去了~~先算出長方體面有三種6*8=48 6*10=60 8*10=80 6*6*π 和 8*8*π都太大了所以刪掉了 3*3*π=28.26 選48的面 volume 28.26*10 4*4*π=50.24 選60的面 volume 50.24*8 5*5*π=78.5 選80的面 volume 78.5*6 所以這樣選5當半徑罐頭可以有最大 volume ---這樣算對嗎???? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.254.230.85

03/07 23:52, , 1F
80的會塞不下去 因為有一邊只有8 可是直徑有10
03/07 23:52, 1F

03/07 23:52, , 2F
所以不能選C
03/07 23:52, 2F

03/07 23:53, , 3F
題目最後一行應該是maximum
03/07 23:53, 3F
※ 編輯: icekingking 來自: 111.254.230.85 (03/07 23:58)

03/07 23:59, , 4F
B大謝啦~~我太粗心了~~maximum已修正
03/07 23:59, 4F

03/08 00:02, , 5F
不客氣~ 大家加油!
03/08 00:02, 5F

04/06 11:13, , 6F
4*4π=50.24→6x10這為底圓柱狀最大半徑3x3
04/06 11:13, 6F

04/06 11:15, , 7F
5*5π=78.5→8x10這為底圓柱狀最大半徑4x4,答案(B)
04/06 11:15, 7F
文章代碼(AID): #1DTFpvMk (GRE)
文章代碼(AID): #1DTFpvMk (GRE)