the surface area of a sphere is 1,017.4 mm squared. what is the volume of the sphere?
To find the volume of the sphere, we need to use the formula:
V = (4/3)πr³
where r is the radius of the sphere.
To start, we need to find the radius using the surface area given. The formula for surface area of a sphere is:
A = 4πr²
We can rearrange this formula to solve for r:
r² = A/4π
r² = 1017.4/4π
r² = 81.28
r = √81.28
r = 9.02 mm
Now we can plug in the radius to the volume formula:
V = (4/3)π(9.02)³
V ≈ 3052.1 mm³
Therefore, the volume of the sphere is approximately 3052.1 mm³.