The problem asks us to find the surface area $A$ of a sphere given its diameter $D = 19.8$ mm. We are also given that we should use $\pi = 3.14$ and round the final answer to the nearest tenth.

GeometrySurface AreaSphereDiameterRadiusFormulaApproximationUnits
2025/4/14

1. Problem Description

The problem asks us to find the surface area AA of a sphere given its diameter D=19.8D = 19.8 mm. We are also given that we should use π=3.14\pi = 3.14 and round the final answer to the nearest tenth.

2. Solution Steps

First, we need to find the radius rr of the sphere. The radius is half of the diameter:
r=D2r = \frac{D}{2}
r=19.82=9.9r = \frac{19.8}{2} = 9.9 mm.
Next, we calculate the surface area AA of the sphere using the formula:
A=4πr2A = 4 \pi r^2
Substituting the given value of π\pi and the calculated value of rr, we get:
A=4×3.14×(9.9)2A = 4 \times 3.14 \times (9.9)^2
A=4×3.14×98.01A = 4 \times 3.14 \times 98.01
A=12.56×98.01A = 12.56 \times 98.01
A=1230.9056A = 1230.9056
Finally, round the result to the nearest tenth:
A1230.9A \approx 1230.9

3. Final Answer

The surface area of the sphere is approximately 1230.91230.9 mm2^2.

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