OLUTION -
1. The ratio between the radii of two spheres is 1:3. Find the ratio between their
volumes?
a)27:1
(c) 1:9
(d) 9:1
1:27
1
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answer : option (d) 1 : 27
the ratio between the radii of two spheres is 1 : 3.
we know, volume of sphere = 4/3 πr³
⇒volume of sphere ∝ (radius)³
so, volume of sphere₁/volume of sphere₂ = (r₁/r₂)³
= (1/3)³
= 1³/3³
= 1/27
hence ratio of volume of spheres is 1 : 27. therefore option (D) is correct choice.
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