The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?

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04-05-2017
Mathematics

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The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?

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BeautifulAfflictions BeautifulAfflictions · Answer 1 · 2017-05-04T03:29:29+02:00

BeautifulAfflictions BeautifulAfflictions

04-05-2017

[tex]3000 \pi = \frac{4}{3} \pi r^{3} [/tex]
[tex]2250= r^{3} [/tex]
[tex]V= \frac{4}{3} \pi r^{3} [/tex]
[tex]r= \sqrt[3]{2250}[/tex]

[tex]SA= 4 \pi r[/tex]
[tex]SA= 4 \pi \sqrt[3]{2250} [/tex]
SA is around 165 square meters.

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