524 cm³ (option C)
Explanation:Volume of a sphere = 4/3 πr³
diameter = 10cm
diameter = 2(radius)
radius = diameter/2 = 10cm/2 = 5cm
let π = 3.142
[tex]\text{Volume of the sphere = }\frac{4}{3}\times3.142\text{ }\times5^3[/tex][tex]\begin{gathered} \text{Volume of the sphere = }\frac{1571}{3} \\ \text{Volume of the sphere = 523.67 cm}^3 \end{gathered}[/tex]To the nearest whole number, volume of the sphere is 524 cm³ (option C)