Answer:
True: A, B, F
False: C, D, E
Step-by-step explanation:
volume of a cone:
[tex]V=\dfrac13 \pi r^2h[/tex]
(where r is the radius and h is the height)
Area of the base = area of a circle:
[tex]A=\pi r^2[/tex]
(where r is the radius)
Cone A
radius (r) = 9
height (h) = 12
[tex]V=\dfrac13 \pi (9^2)(12)[/tex]
[tex]A=\pi (9^2)[/tex]
Cone B
radius (r) = 7
height (h) = 18
[tex]V=\dfrac13 \pi (7^2)(18)[/tex]
[tex]A=\pi (7^2)[/tex]
Cone C
diameter = 18 ⇒ radius (r) = 9
height (h) = 9
[tex]V=\dfrac13 \pi (9^2)(9)[/tex]
[tex]A=\pi (9^2)[/tex]
True: A, B, F
False: C, D, E
