The volume of a sphere is 5000 π m3. What is the lateral surface area of the sphere to the nearest square meter?
4451
3033
1516
888
First, we can use the formula for the volume of a sphere to solve for the radius:
V = (4/3)πr^3
5000π = (4/3)πr^3
r^3 = (3/4)(5000)
r = 25
Now, we can use the formula for the lateral surface area of a sphere:
A = 4πr^2
A = 4π(25)^2
A ≈ 7,854
Rounding to the nearest square meter, the lateral surface area is 7,854 m^2, which is closest to 8,000 m^2.
Therefore, the closest answer choice is 888.