A cube of side 5cm contain a sphere touching its sides find the volume of gap between them
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The Volume of the gap is Equal to Total Area of cube - Volume covered by Sphere
From The figure (a 2-D Crossectional representation) you can understand easily
Now The Side of cube=Diameter of Sphere
So, r= a/2 = 2.5 cm
a=5 cm
Volume of cube C= a³ = 5³ = 125 cm³
Volume of sphere S= (4/3)πr³=(4/3) π (2.5)³ = 4/3 * 3.14 * 15.625 = 65.4167 cm³ (est.)
Volume of Gap = C - S = 125 - 65.4167 = 59.5833 cm³
From The figure (a 2-D Crossectional representation) you can understand easily
Now The Side of cube=Diameter of Sphere
So, r= a/2 = 2.5 cm
a=5 cm
Volume of cube C= a³ = 5³ = 125 cm³
Volume of sphere S= (4/3)πr³=(4/3) π (2.5)³ = 4/3 * 3.14 * 15.625 = 65.4167 cm³ (est.)
Volume of Gap = C - S = 125 - 65.4167 = 59.5833 cm³
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