The volume of a sphere is 2,098 m
What is the surface area of the sphere to the nearest tenth?
(1 point)
• 1,700 m2
• 146.2 m₴
• 850 m₴
• 26,364 m-
First, we need to find the radius of the sphere using the volume formula for a sphere:
V = (4/3)πr³
Rearranging the formula to solve for the radius:
r³ = (3/4π)V
r = (3V/4π)^(1/3)
Plugging in the given volume:
r = (3(2098)/(4π))^(1/3) ≈ 7.0 m
Now, we can find the surface area using the formula for the surface area of a sphere:
A = 4πr²
Plugging in the radius:
A = 4π(7.0)² ≈ 615.7 m²
Therefore, the surface area of the sphere to the nearest tenth is 615.7 m².