Final answer:
To calculate the surface area of a sphere with a diameter of 18.4 cm, we find the radius, square it, and then use the formula A = 4πr² with π approximated to 3.1 to get 1049.2 cm², rounded to the nearest tenth.
Step-by-step explanation:
The student is asking how to calculate the surface area of a sphere when given its diameter. The formula to find the surface area of a sphere is A = 4Πr². Since the diameter is given as 18.4 cm, we first find the radius by dividing the diameter by 2, which gives us a radius of 9.2 cm. Using the approximated value for Π (3.1), we calculate:
A = 4(3.1)(9.2²) cm²
Now, squaring the radius:
9.2² = 84.64 cm²
Then, multiply by 4 and Π:
A = 4(3.1)(84.64) cm² = 1049.184 cm²
Finally, we round to the nearest tenth:
A ≈ 1049.2 cm²