rachel/411
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 )
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rachel/411
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@amistre64
RadEn
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Vcube - Vcone
rachel/411
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thanks. u use volume of rect prism for the cube?
RadEn
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Vcone = 1/3 * pi*r^2*t
Vcube = side*side*side
rachel/411
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so 36*6-1/3*3*4^2
rachel/411
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wait, the height of the cone is not given
rachel/411
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only the diameter
RadEn
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yeah, u didnt mention for heigh of cone ?
rachel/411
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the only thing given is the diameter of the base. the cone is upside down inside the cube
rachel/411
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and the only ,easurement given is the diameter..a line is across the circle/base and says 4 cm
rachel/411
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What do you suppose the height is ?
RadEn
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assume that the height of cone same with cube, maybe...
rachel/411
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magbe. and so, what would the equation be?
RadEn
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Vcone = 1/3 * pi*(2)^2*4 = 16pi/3
Vcube = 4*4*4 = 64
subtracted from Vcube, gives 64-16pi/3
rachel/411
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thanks. ill calculate now.
RadEn
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that's enough as the answer
rachel/411
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is it 48 cm^3?
rachel/411
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ok. thank u
rachel/411
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but if asked for a specific one,would 48 suffice?
RadEn
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just convert pi=3.14
rachel/411
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they tell u to use 3 for pi
RadEn
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it will easier, so funy...
= 64 - 16*3/3
= 64 - 16
= 48
u r right :)