Question

100 POINTS AND BRAINLIEST! FULLY CORRECT AND EXPLANITORY ANSWERS ONLY!

Answer 1

Answer:

2714.34 in³ (nearest hundredth)

Step-by-step explanation:

A) Cone and hemisphere

B) volume of a cone = $\dfrac13\pi r^2h$

volume of a hemisphere = $\dfrac23\pi r^3$

(where r is the radius and h is the height)

C)

$\implies \textsf{volume of cone}=\dfrac13\pi \times 9^2\times 14=378 \pi$

$\implies \textsf{volume of hemisphere}=\dfrac23\pi \times 9^3=486 \pi$

$\implies \textsf{total volume}=378 \pi+486 \pi=864\pi =2714.34 \textsf{ in}^3 \textsf{ (nearest hundredth)}$