Answer:
2714.34 in³ (nearest hundredth)
Step-by-step explanation:
A) Cone and hemisphere
B) volume of a cone = [tex]\dfrac13\pi r^2h[/tex]
volume of a hemisphere = [tex]\dfrac23\pi r^3[/tex]
(where r is the radius and h is the height)
C)
[tex]\implies \textsf{volume of cone}=\dfrac13\pi \times 9^2\times 14=378 \pi[/tex]
[tex]\implies \textsf{volume of hemisphere}=\dfrac23\pi \times 9^3=486 \pi[/tex]
[tex]\implies \textsf{total volume}=378 \pi+486 \pi=864\pi =2714.34 \textsf{ in}^3 \textsf{ (nearest hundredth)}[/tex]
