Vol of hemisphere

=2/3*22/7*r*r*r

=2/3*22/7*7*7*7.......................(i)

now ,

Vol of cone

=1/3*22/7*r*r*h

=1/3*22/7*r*r*49....................(ii)

as both of their volumes would be same,

therefore,

(i)=(ii)

2/3*22/7*7*7*7=1/3*22/7*r*r*49

simplify it,

r=Sqrt14

Ans:Radius of base of cone is Sqrt14 cm