Q.8 The surface areas of two sphere are in the ratio 16:9. The ratio of their volumes is.
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Answer:
The ratio of volume is 27:64.
Step-by-step explanation:
It is given that ratio of surface area of two spheres is 9:16.
Let the radius of two sphere be r₁ and r₂.
The area of a sphere is
Cancel out common factors.
Square root both the sides.
It means the ratio of radius is 3:4. Let the radius of spheres are 3x and 4x.
The volume of a sphere is
Therefore the ratio of volume is 27:64.
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