Mensuration Practice Test 5

Question : 31 of 40

Marks: +1, -0

If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes will be:

Solution:

Ratio of the two surface area of sphere.
=

4πR^2 : 4πr^2

4(4πR^2) : 9(4πr^2)

4R^2 : 9r^2

r/R

√{4/9}

2/3

Now volume of the two spheres
=

4/3 pR^3 : 4/3 πr^3

R^3 : r^3

r^3/R^3

(2)^3/(3)^3

8/{27}

= 8 : 27

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