Question

the diameter d of a sphere is 14.4 cm. 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 \(r\) of a sphere is half of the diameter. Given \(D = 14.4\) cm, so \(r=\frac{D}{2}=\frac{14.4}{2}=7.2\) cm.

Step2: Use the surface - area formula

The surface - area formula of a sphere is \(A = 4\pi r^{2}\). Substitute \(r = 7.2\) cm and \(\pi=3.14\) into the formula:

$$
LATEXBLOCK0
$$

Step3: Round the result

Round \(651.1104\) to the nearest tenth. The digit in the hundredth place is \(1\), so \(651.1104\approx651.1\)

Answer:

\(651.1\) cm²