Question

metallic sphere of radius 6cm 8cm and 10cm respectively are melted to form a single solid sphere find the radius of resulting sphere

Answer 1

$\frac{4}{3}\pi r {}^{3 } + \frac{4}{3}\pi r {}^{3 } + \frac{4}{3}\pi r {}^{3 } = \frac{4}{3}\pi r {}^{3 } \\ \frac{4}{3}\pi(6 {}^{3} + 8 {}^{3} + {10}^{3} ) = \frac{4}{3}\pi r {}^{3 } \\(216 + 512 + 1000) = {r}^{3} \\ 1728 = {r}^{3} \\ r = \sqrt[3]{1728} \\ r = 12$
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Answer 2

Answer:

Step-by-step explanation:

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