Answer:
(a) 13 824cm³
(b) 452.16cm³
(c) 13 371.84cm³
Step-by-step explanation:
Formulas (For easier reference):
Volume of cubic box = length³
Volume of ball = [tex]\pi[/tex] × radius²
Radius = [tex]\frac{diameter}{2}[/tex]
We just have to put in the formulas.
Volume of box = 24³
= 13 824cm³
Volume of ball = 3.14 × ([tex]\frac{24}{2}[/tex])²
= 3.14 × 144
= 452.16cm³
Remaining space = 13 824cm³ - 452.16cm³
= 13 371.84cm³
