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Answer:
B) Cone 2, Cone 1, Cone 3
Step-by-step explanation:
Find the volume of Cone 1 with radius 11 cm and height of 9 cm
[tex]V=\pi r^{2} \frac{h}{3}[/tex] Use this equation to find the volume of a cone
[tex]V = \pi (11)^{2} \frac{9}{3}[/tex] Simplify
[tex]V=\pi (121)(3)[/tex] Multiply
V = 1140.4 cm²
Find the volume of Cone 2 with radius 8 cm and height 14 cm
[tex]V=\pi r^{2} \frac{h}{3}[/tex] Use this equation to find the volume of a cone
[tex]V = \pi (8)^{2} \frac{14}{3}[/tex] Simplify
[tex]V=\pi (64)(\frac{14}{3} )[/tex] Multiply
V = 938.29 cm²
Find the volume of Cone 3 with radius 14 cm and height 8 cm
[tex]V=\pi r^{2} \frac{h}{3}[/tex] Use this equation to find the volume of a cone
[tex]V = \pi (14)^{2} \frac{8}{3}[/tex] Simplify
[tex]V=\pi (196)(\frac{8}{3} )[/tex] Multiply
V = 1642.01 cm²