The volume of a metallic cone is 252cm^3. If it is melted and recasted into 2 similar cones and the ratio of the base radii of these 2 cones is 1:5, find the volume of the largest cone.
A 2cm^3
B.210cm^3
C.242cm^3
D.250cm^3
but..
isnt it the original one is the largest one.....?
volume of cone..
2008-06-14 1:08 am
回答 (1)
2008-06-14 2:02 am
✔ 最佳答案
In logical sense it is. But in mathematical sence, it should only consider the two newly formed cone.The vol. of the two newly-formed cone should be equal to the vol. of the original cone, i.e. 252cm³
As they are similar, we can apply the formula V1/V2=(l1/l2)³=1:125
Let vol. of the small cone be V
∴V+125V=252
V=2cm³
∴The vol. of the largest cone= 252-2=250cm³, which is answer D.
收錄日期: 2021-04-13 15:41:14
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