Find the volume largest right circular cone that can be cut out of a cone of a cube whose edge is 9 ...........

Quantitative Aptitude ( CCS) Mensuration 3D

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Find the volume largest right circular cone that can be cut out of a cone of a cube whose edge is 9 cm.

190.92 cm³

125.92 cm³

100.92 cm³

200.92 cm³

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Explanation:

Given,
The side of the cube = 9 cm
The largest cone is curved from cube diameter of base of cone = side of the cube
2r = 9
r = 9/2 cm = 4.5 cm
Height of cone = side of cube
Height of cone (h) = 9 cm
Volume of the largest cone to fit in = 1/3×∏×r²×h
= 1/3×∏×4.52×9
=190.92 cm³
The volume of the largest cone to fit in is having a volume of 190.92 cm³