three shots are made by melting a solid, metallic sphere of radius 6cm.if the radii of the two sphere are 3cm and 4cm respectively, then find radius of the third shot.
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Step-by-step explanation:
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5 cm
Step-by-step explanation:
let V1, V2,V3 be the volume of the shots after melting the big sphere of volume V and radius = 6 cm (given)
hence,
V1 + V2+ V3 = V
4/3π(3)³ + 4/3π(4)³ + 4/3πr³ = 4/3π(6)³
cancelling 4/3π both the side..
3³ + 4³ + r³ = 6³
27 +64 + r³ = 216
r³ = 125
r = (125)⅓
r = 5cm
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