From a cube of edge 14 cm , a cone of maximum size is carved out . Find the volume of the remaining material.
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Answered by
8
volume of. cube =L^3=14^3=2744
vertical height of cone=14 cm
radius =7 cm
volume of cone=1/3(pie*r^2*h)
=1/3(22/7*49*14)
=1/3(308*7)
=2156/3
=718.66
volume remaining part=vol. of( cube -cone)
=2774-718.66
=2055.34
vertical height of cone=14 cm
radius =7 cm
volume of cone=1/3(pie*r^2*h)
=1/3(22/7*49*14)
=1/3(308*7)
=2156/3
=718.66
volume remaining part=vol. of( cube -cone)
=2774-718.66
=2055.34
Answered by
3
Hola!!!
Cube
====
Volume of cube=a^3=14×14×14=2744cm^3--------(1)
Cone
=====
Since its a cube , diameter of cone carved out from it = edge of cube= a= 14cm
radius=diameter/2=14/2=7cm
Height=edge=a=14cm
Volume of cone=1/3 pi r^2 h
=1/3×22/7×7×14×14
=718.66cm^3---------(2)
Volume of remaining material after carving out cone of maximum volume from cube of edge 14 cm =(1)-(2)=====>>
2744-718.66
=2025.35cm^3
=============
Cube
====
Volume of cube=a^3=14×14×14=2744cm^3--------(1)
Cone
=====
Since its a cube , diameter of cone carved out from it = edge of cube= a= 14cm
radius=diameter/2=14/2=7cm
Height=edge=a=14cm
Volume of cone=1/3 pi r^2 h
=1/3×22/7×7×14×14
=718.66cm^3---------(2)
Volume of remaining material after carving out cone of maximum volume from cube of edge 14 cm =(1)-(2)=====>>
2744-718.66
=2025.35cm^3
=============
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