To find the surface area of the sphere, we need to use the formula for the volume of a sphere:
V = (4/3) * pi * r^3
Given that the volume of the sphere is 2098 pi m^3, we can set up the equation as follows:
2098 pi = (4/3) * pi * r^3
Dividing both sides by pi and multiplying by 3/4, we can isolate r^3:
r^3 = 2098 * 3 / 4
r^3 = 1573.5
r ≈ 11.6 meters
Now that we have found the radius of the sphere, we can calculate the surface area using the formula:
A = 4 * pi * r^2
A = 4 * pi * (11.6)^2
A ≈ 1679.9 square meters
Therefore, the surface area of the sphere is approximately 1679.9 square meters to the nearest tenth.
the volume of a sphere is 2,098 pi m3 . what is the surface area of the sphere to the nearest tenth
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