## rachel/411 2 years ago There is a cone inside a cube. The diameter of the cone is 4 cm. The length,height,and width of the cube are 6 cm each. What is the volume of the cube not occupied by the cone? ( Use three for pi )

1. rachel/411

@amistre64

Vcube - Vcone

3. rachel/411

thanks. u use volume of rect prism for the cube?

Vcone = 1/3 * pi*r^2*t Vcube = side*side*side

5. rachel/411

so 36*6-1/3*3*4^2

6. rachel/411

wait, the height of the cone is not given

7. rachel/411

only the diameter

yeah, u didnt mention for heigh of cone ?

9. rachel/411

the only thing given is the diameter of the base. the cone is upside down inside the cube

10. rachel/411

and the only ,easurement given is the diameter..a line is across the circle/base and says 4 cm

11. rachel/411

What do you suppose the height is ?

assume that the height of cone same with cube, maybe...

13. rachel/411

magbe. and so, what would the equation be?

Vcone = 1/3 * pi*(2)^2*4 = 16pi/3 Vcube = 4*4*4 = 64 subtracted from Vcube, gives 64-16pi/3

15. rachel/411

thanks. ill calculate now.

17. rachel/411

is it 48 cm^3?

18. rachel/411

ok. thank u

19. rachel/411

but if asked for a specific one,would 48 suffice?

just convert pi=3.14

21. rachel/411

they tell u to use 3 for pi