Solution:

Given common radius, r = 7 cm

Height of the cone, h = 4 cm

Height of the cylinder, H = 4 cm

Volume of the solid = Volume of the cone + Volume of the cylinder + Volume of the hemisphere

= (1/3)r²h +r²H + (2/3) r³

= r²((h/3) + H + (2r/3))

= (22/7)×7²×((4/3)+4+(2×7)/3)

= (22×7×((4+12+14)/3)

= 22×7×30/3

= 1540 cm³

Hence the volume of the solid is 1540 cm³.