the volume of a sphere is 5000 pi m^3. what is the surface area of the sphere to the nearest square meter?
a) 4451 m^2
b) 3033 m^2
c) 1516 m^2
d) 888 m^2
To find the surface area of a sphere, we use the formula:
Surface Area = 4πr^2
where r is the radius of the sphere.
To find the radius of the sphere, we use the formula:
Volume = (4/3)πr^3
5000π = (4/3)πr^3
r^3 = (3/4)5000
r^3 = 3750
r ≈ 15.59 m (rounded to 2 decimal places)
Now we can use the surface area formula:
Surface Area = 4πr^2
Surface Area = 4π(15.59)^2
Surface Area ≈ 3033 m^2
Therefore, the answer is b) 3033 m^2 (rounded to the nearest square meter).