Answer:
3500[tex]\pi[/tex] = 10995.57 in³ (nearest hundredth)
Step-by-step explanation:
area of a circle = [tex]\pi r^2[/tex]
⇒ area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]
⇒ area of a quarter circle = [tex]\frac{1}{4}\pi r^2[/tex]
total area = 5 circles + 10 semicircles + 100 quarter circles
⇒ total area = [tex]5\pi r^2 +(10\times \frac{1}{2}\pi r^2)+(100 \times \frac{1}{4}\pi r^2)[/tex]
⇒ total area = [tex]35\pi r^2[/tex]
If r = 10 inches
⇒ total area = [tex]35\pi \times 10^2=3500\pi =10995.57 \ \textsf{in}^2 \ \textsf{(nearest tenth)}[/tex]
