Mathematics: 3. A solid sphere of radius 3 cm is melted and then recast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.

3. A solid sphere of radius 3 cm is melted and

Ответ:

constipatedcow18

03.02.2022

1000

Step-by-step explanation:

$Volume \: of \: solid \: sphere \\ = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \pi ({3})^{3} \\ \\ = \frac{4}{3} \pi \times 27 \: {cm}^{3} \\ \\ diameter \: of \: one \: small \: ball \\ = 0.6 \: cm \\ \therefore \: radius \: (r) = 0.3 \: cm \\ \\ Volume \: of \: one \:small \: ball \\ = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \pi ({0.3})^{3} \\ \\ = \frac{4}{3} \pi \times 0.027 \: {cm}^{3} \\ \\ number \: of \: balls \\ \\ = \frac{Volume \: of \: solid \: sphere}{Volume \: of \: one \:small \: ball } \\ \\ = \frac{\frac{4}{3} \pi \times 27 \: {cm}^{3} }{\frac{4}{3} \pi \times 0.027 \: {cm}^{3} } \\ \\ = \frac{27}{0.027} \\ \\ = \frac{27000}{27} \\ \\ = 1000$

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Ответ:

xFoxMusic

26.04.2023

Mathematics

can you provide more information

Step-by-step explanation:

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3. A solid sphere of radius 3 cm is melted and then recast into small spherical balls, each of diameter 0.6 cm. Find the number of small balls so obtained.

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