IGCSE/GCSE/O & A Level/IB/University Student Forum

Qualification => Subject Doubts => GCE O - Level => Math => Topic started by: rickyponting66 on September 26, 2009, 05:07:39 pm

Title: Plz Solve this math question for me...
Post by: rickyponting66 on September 26, 2009, 05:07:39 pm
Q.      The Volume if two spheres are 640cm3  and  270cm3 .  Find the ratio of their diameters?



This is a question from "Area and Volume" and in most of this type of questions this formulae is used   "v1/v2=(L1/L2)`3"...

Help Plz..
Title: Re: Plz Solve this math question for me...
Post by: Ghost Of Highbury on September 26, 2009, 05:22:24 pm
okk..first find the diameter of the biger sphere

4/3 pi * r^3 = 640

r^3 = 640/4.18

r = cube root of (152.78) = 5.34

so diameter = 2 * 5.34 = 10.68

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same for the smaller one..

4/3 pi r^3 = 240

r^3 = 240/4.188 = 57.29

r = 3.85

so diameter= 2 * 3.85 = 7.7


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so the ratio = 10.68 / 7.7 = 1.3

Title: Re: Plz Solve this math question for me...
Post by: rickyponting66 on September 26, 2009, 05:51:15 pm
Your Answer is Wrong...
Its answer is 4:3 .  But How?
Title: Re: Plz Solve this math question for me...
Post by: Ghost Of Highbury on September 26, 2009, 06:08:02 pm
its correct...1.3 can be expressed as 4:3

Title: Re: Plz Solve this math question for me...
Post by: Ghost Of Highbury on September 26, 2009, 06:10:38 pm
1.3:1 multiply both by 3 ==> which gives u . 4:3
Title: Re: Plz Solve this math question for me...
Post by: nid404 on September 26, 2009, 06:29:42 pm
that's right
Title: Re: Plz Solve this math question for me...
Post by: Ghost Of Highbury on September 26, 2009, 06:32:20 pm
told him so..
Title: Re: Plz Solve this math question for me...
Post by: rickyponting66 on September 27, 2009, 11:36:53 am
but why would I multiply ratio with 3?
Title: Re: Plz Solve this math question for me...
Post by: nid404 on September 27, 2009, 11:37:54 am
but why would I multiply ratio with 3?


to remove the decimal....ratios are in whole numbers preferably
Title: Re: Plz Solve this math question for me...
Post by: rickyponting66 on September 27, 2009, 02:20:36 pm
I am still confused :( :( :( :( :(
Title: Re: Plz Solve this math question for me...
Post by: nid404 on September 27, 2009, 02:24:16 pm
the ratios are 1.3:1....to remove the decimal point and make it a whole number you multiply it with the number which would result in a number closest to a whole number.....so that number is 3.
it gives u 3.99(1.3X3)....very close to four...and 1X3=3
hence ratio is 4:3

remember you are not changing the ratio....

Title: Re: Plz Solve this math question for me...
Post by: nid404 on September 27, 2009, 02:24:55 pm
I have answered some questions you had posted earlier...tell me if they r right or not