The largest right circular cone is cut out of a cube of side 21 cm find total surface area of remaining solid?
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Answer:
As seen in the figure the maximum volume of cone that can be carved will be of radius = 0.5side length of cube
R=0.5L=0.5×21=10.5cm
h=21cm
V=
3
1
πR
2
h=
3
1
π×10.5
2
×21=2424.52cm
3
Volume of wood left= Volume of cube-V
V
l
=l
3
−V=21
3
−2424.52=21
3
−2424.52=6836.5cm
3
Step-by-step explanation:
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