Final answer:
The surface area of the sphere is approximately 886.6 mm².
Step-by-step explanation:
To calculate the surface area of a sphere, we can use the formula A = 4πr², where A is the surface area and r is the radius.
In this case, the diameter of the sphere is given as 16.8 mm.
The radius is half the diameter, so we divide 16.8 by 2 to get the radius:
r = 16.8/2
= 8.4 mm.
Plugging this value into the formula, we have A = 4π(8.4)^2
= 4π(70.56)
= 282.24π.
Using the value of π as 3.14, we can calculate the final surface area:
A ≈ 282.24 × 3.14
= 886.57 mm².
Rounding to the nearest tenth, the surface area of the sphere is approximately 886.6 mm².