SURFACE AREA AND VOLUME OF A SPHERE
A cube of side 4 cm contains a sphere touching it sides Find the volume of the gap in between .
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Answer:
6a^2
Step-by-step explanation:
TSA OF A CUBE =6a^2
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volume of cube = (4)^3 = 64 cm^3.
Diameter = 4 cm.
Hence, radius = 2 cm
volume of sphere = (4/3)πr^3
= (4/3)π×(2)^3 = 704/21
∴ Volume of the gap between them = 64 - 704/21
= 30.47 cm^3
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