The volume of a sphere is 2475 pi m ^3. What is the surface area of the sphere to the nearest tenth?

Answer 1

To find the surface area of a sphere, we can use the formula:

Surface Area = 4πr^2

Given that the volume of the sphere is 2475π m^3, we can find the radius using the formula for the volume of a sphere:

Volume = (4/3)πr^3
2475π = (4/3)πr^3
r^3 = (2475π) * (3/4π)
r^3 = 2475 * 3
r = (2475 * 3)^(1/3)
r = 15

Now that we have the radius, we can plug it into the surface area formula:

Surface Area = 4π(15)^2
Surface Area = 4π(225)
Surface Area = 900π

To find the actual value, we can approximate π to 3.14:

Surface Area = 900 * 3.14
Surface Area ≈ 2826

Therefore, the surface area of the sphere is approximately 2826 m^2.