Explanation
Let radius of sphere be r cm.
Given, the surface area of a sphere =346.5 cm2.
We know, surface area of sphere =4πr2.
4πr2=346.5cm2
r2=346.54π
=346.5×74×22
=2425.54×22
=27.5625
⟹ r=√27.5625=5.25 cm .
Therefore, option A is correct.
False: Clearly from figure when a ball (spherical) is exactly fitted inside the cubical box then diameter of the ball becomes equal to side of cube so
Diameter =d=a
⇒ Radius =r=a2
∴ Volume of spherical ball =43πr3
=43π(a2)3=43πa38=16πa3≠43πa3
Hence, the given statement is false.
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