The volume of the cube after removing a sphere of diameter 10cm from it = 476.67 cm³
Volume of a cube = [tex]side^{3}[/tex] (side = side of the cube)
What is the volume of a sphere?
Volume of a sphere = [tex]\frac{4 \pi (radius)^{2} }{3}[/tex] (radius = radius of the sphere)
Given:
Total volume of the cube = [tex]10^{3}[/tex] = 1000 cm³
Volume of the sphere = [tex]\frac{4\pi (5)^{3} }{3}[/tex] = 523.33 cm³
Volume of the cube after removing the sphere of diameter 10cm = Total volume of the cube - Volume of the sphere = 1000 - 523.33 = 476.67 cm³
Hence, the required volume of the cube = 476.67 cm³
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