Question

I need help fitting letter "D" into the category of either true or false. It would be greatly appreciated if you could check the other letters too, to make sure they are in the right spot.

Answer 1

True: A, B, F

False: C, D, E

Explanation:

volume of a cone:

`V=\frac13 \pi r^2h`

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

Area of the base = area of a circle:

`A=\pi r^2`

(where r is the radius)

Cone A

radius (r) = 9

height (h) = 12

`V=\frac13 \pi (9^2)(12)`

`A=\pi (9^2)`

Cone B

radius (r) = 7

height (h) = 18

`V=\frac13 \pi (7^2)(18)`

`A=\pi (7^2)`

Cone C

diameter = 18 ⇒ radius (r) = 9

height (h) = 9

`V=\frac13 \pi (9^2)(9)`

`A=\pi (9^2)`

True: A, B, F

False: C, D, E