there are two sphere of same metal weight 1 and7 . the radius of smaller sphere is 3 cm.t he two sphere are melted and form new sphere . find radius of new sphere
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Step-by-step explanation:
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Answer: This is your answer bro
Step-by-step explanation:
Mass of small sphere = 1 kg
Mass of larger sphere = 7 kg
∴ 1/7 = volume of small sphere/ volume of larger sphere
1/7 = 4/3 π r³ / 4/3 π R³
1/7 = 3³/R³
R = 3∛7
Volume of new sphere = Volume of small sphere + volume of larger sphere
4/3 π r³ = 4/3 π r³ + 4/3 π R³
4/3 π r³ = 4/3 π (r³ + R³)
r³ = 3 + (3∛7)³
= 27 + 27 × 7
= 27(1+7)
= 27 × 8
r = ∛3×3×3×2×2×2
r = 3×2
r = 6 cm
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