Question

the diameter d of a sphere is 9.6 m. calculate the spheres surface area a.
use the value 3.14 for π, and round your answer to the nearest tenth.
a = □m²

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of the diameter. Given \( D = 9.6\) m, so \( r=\frac{D}{2}=\frac{9.6}{2}=4.8\) m.

Step2: Use the surface - area formula

The surface - area formula of a sphere is \( A = 4\pi r^{2}\). Substitute \( r = 4.8\) m and \( \pi=3.14\) into the formula:

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Step3: Round the result

Round \( 289.3824\) to the nearest tenth. The digit in the hundredth place is \( 8\), so we round up the digit in the tenth place. \( 289.3824\approx289.4\)

Answer:

\(289.4\)