Question

the diameter d of a sphere is 8.6 mm. calculate the spheres surface area a. use the value 3.14 for π, and round your answer to the nearest tenth.

Explanation:

Step1: Find the radius

The radius \( r=\frac{D}{2} \). Given \( D = 8.6\) mm, so \( r=\frac{8.6}{2}=4.3\) mm.

Step2: Use the surface - area formula for a sphere

The formula for the surface area of a sphere is \( A = 4\pi r^{2}\). Substitute \( r = 4.3\) mm and \( \pi=3.14\) into the formula:

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Step3: Round the result

Round \( 232.2344\) to the nearest tenth. The digit in the hundredth place is \( 3\), so we keep the digit in the tenth place as it is.

Answer:

\(232.2\)