Volume of a sphere is equal to the volume of a hemisphere. If the radius of the hemisphere is3\sqrt^3 {2 }cm, then the radius of the sphere is equal to

RRB NTPC Mains or Stage 2 Model Paper 3 with solutions

Question : 74 of 120

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Volume of a sphere is equal to the volume of a hemisphere. If the radius of the hemisphere is

3√^3 {2 }

cm, then the radius of the sphere is equal to

Solution:

Volume of sphere

= 4/3πr^3_2

Volume of hemisphere

= 2/3πr^3_2

According to question,

4/3πr^3_1=2/3πr^ 3_2

r _1 =[{r_2^3}/2]^1/3

Given

r _2 = 3 √^3{ 2 }

r _1 = 3

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