A right circular cylinder is partially filled with water Two iron spherical balls are completely imm...........

Quantitative Aptitude (CGL) Mensuration 3D

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

6 cm and 12 cm

4 cm and 8 cm

3 cm and 6 cm

2 cm and 4 cm

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Explanation:

total volume of 2 balls = volume of cylinder of height = 4 cm
4/3πr^³₁+43πr^³₂=π9^²×4
r₁=2r₂ given
4/3π(8r^³₂+r^³₂)=π×9×9×4
9r^³₂=9×9×3
r₂=3
r₁=2r₂=2×3=6