幫我計數OK??(Thx)

2008-05-23 10:54 pm
幫我計以下的問題:
1)The volume of a cylinder is V.If the base radius is doubled and the height is unchangad.Find the volume of the new cylinder.


A. 2V
B. 4V
C. 8V
D. 9V
E. 16V


2) A sphere is inflated with air.If the surface area of the sphere is increased by 21%, what is the percentage change of its volume?

A. increase 10%
B. increase 21%
C. increase 33.1%
D. decrease 21%
E. decrease 33.1%



3)The figure shows a cylinder with baseradius 4 cm.The cylinder contains water with height h cm.A sphere with radius 4cm is immersed(浸入) into the cylinder,the water just covers the sphere.Find the value of h.

A. 2 cm
B. 3 cm
C. 2/3 cm
D. 4/3 cm
E. 8/3 cm



4) The vertical angle of a right cone is 60 °.If the curved surface
area of the cone is72πcm(square),find the volume of the cone.


A. 72√3πcm(cube)
B. 1443πcm(cube)
C. 144√3 πcm(cube)
D. 216√3πcm(cube)
E. 432πcm(cube)

回答 (1)

2008-05-24 1:41 am
✔ 最佳答案
1.B 2^2V=4V
2.C 1.21^(3/2)-1=0.331=33.1%
3.E 16π(4^2)h+(4/3)π(4^3)=π(4^2)8=>h=8-(4/3)4=8-16/3=8/3
4.C [π(2r)^2][[2πr/[2π(2r)]]=72π=>r=6, V=(1/3)π(r^2)(√3 r)=144π√3


收錄日期: 2021-04-15 15:03:46
原文連結 [永久失效]:
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