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Kaylis [27]
3 years ago
7

Please help thanks so much

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
The formula for the volume of a sphere is the following:

V= \dfrac{4}{3} \pi r^3

Plug in V=5000π and solve for the radius.

5000 \pi = \dfrac{4}{3} \pi r^3

Divide both sides by \pi

5000 = \dfrac{4}{3} r^3

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

r^3=3750

Take the cube root of both sides

r \approx 15.5

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

S=4 \pi r^2

Plug in r=15.5

S \approx 3033

The second choice is your answer.
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