A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu
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8 solid iron sphere with radius 'a cm' each are melted to form a sphere with radius 'b cm' then the ratio of a:b is 1 : 2
<u>Solution:</u>
Given that 8 solid iron sphere with radius 'a cm' each are melted to form a sphere with radius 'b cm'
Need to find the ratio of a:b
As 8 solid iron sphere with radius 'a cm' each are melted to form a sphere with radius 'b cm'.
For sake of simplicity, let volume of 1 sphere of radius a cm is represented by and volume of 1 sphere of radius b cm is represented by
So volume of 8 solid iron sphere with radius 'a cm' = volume of 1 solid iron sphere with radius 'b cm'
---- eqn 1
<em><u>Formula for volume of sphere is as follows:</u></em>
Where r is radius of the sphere
Substituting r = a cm in the formula of volume of sphere we get
Substituting r = b cm in the formula of volume of sphere we get
a : b = 1 : 2
Hence the ratio of a:b is 1 : 2