Explanation
For such sphere its diameter should be equal to the side of sphere.
Diameter of sphere =7 cm
So, radius =3.5 cm
Volume of the sphere carved out =43πr3
=43×227×3.53
=179.7cm3
Volume of the cube of edge′a′units=a3=73=343
Volume of the wooden left=343–179.7=163.3 cm3
Total surface area of the hemisphere =462cm2
Total surface area of the hemisphere =2πr2
⇒462=3πr2
⇒r=7 cm
Volume of hemisphere =23πr3
V=23×227×73
V=718.67cm3
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