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 )

Question

anonymous · Answer

@amistre64

raden · Answer

Vcube - Vcone

anonymous · Answer

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

raden · Answer

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

anonymous · Answer

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

anonymous · Answer

wait, the height of the cone is not given

anonymous · Answer

only the diameter

raden · Answer

yeah, u didnt mention for heigh of cone ?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

What do you suppose the height is ?

raden · Answer

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

anonymous · Answer

magbe. and so, what would the equation be?

raden · Answer

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

anonymous · Answer

thanks. ill calculate now.

raden · Answer

that's enough as the answer

anonymous · Answer

is it 48 cm^3?

anonymous · Answer

ok. thank u

anonymous · Answer

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

raden · Answer

just convert pi=3.14

anonymous · Answer

they tell u to use 3 for pi

raden · Answer

it will easier, so funy...
= 64 - 16*3/3
= 64 - 16
= 48
u r right :)