Answer:
115.625 cm³
Explanation:
For 2 similar shapes
linear ratio = a : b, then
volume ratio = a³ : b³
The ratio of the radii = 20 : 10 = 2 : 1, thus
The ratio of the volumes = 2³ : 1³ = 8 : 1
Let x be the volume of the smaller cone, then
=
( cross- multiply )
8x = 925 ( divide both sides by 8 )
x = 115.625
The volume of the smaller cone = 115.625 cm³