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velikii [3]
2 years ago
15

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

Mathematics
2 answers:
Oxana [17]2 years ago
6 0

Answer:

<u>Radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>sphere</u><u> </u><u>is</u><u> </u><u>1</u><u>3</u><u>.</u><u>1</u><u> </u><u>m</u><u>.</u>

Step-by-step explanation:

Volume:

{ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3}  }}}}}

Substitute:

{ \tt{3000\pi =  \frac{4}{3} \times \pi \times  {( {r}^{3}) } }} \\  \\ { \tt{ {r}^{3}  = \frac{3000 \times 3}{4}  }} \\  \\ { \tt{r =  \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}

Gnesinka [82]2 years ago
5 0

Answer:

13m

Step-by-step explanation:

volume of sphere = \frac{4}{3} * pi * r^{3} = 3000π

4r^3/3 = 3000

r^3 =2250

r = ∛2250 = 13.10370 = 13

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Step-by-step explanation:

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