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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Edge of cube = 14 cm
volume = 14^3 = 2520 cm3
cone of maximum size in the cube will have
diameter= 14cm
radius = 7 cm
height = 14 cm
Volume of cone = 1/3 πr^2h = 1/3 × 22/7 × 7×7×14 = 2156/3 = 718.67 cm3
Volume of remaining material= 2520 - 718.67 = 1801.33cm3
volume = 14^3 = 2520 cm3
cone of maximum size in the cube will have
diameter= 14cm
radius = 7 cm
height = 14 cm
Volume of cone = 1/3 πr^2h = 1/3 × 22/7 × 7×7×14 = 2156/3 = 718.67 cm3
Volume of remaining material= 2520 - 718.67 = 1801.33cm3
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13
answer is 2025.33cm cube
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