Question

Please help thanks so much

Answer 1

The formula for the volume of a sphere is the following:


`V= (4)/(3) \pi r^3`

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


`5000 \pi = (4)/(3) \pi r^3`

Divide both sides by
`\pi`


`5000 = (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.