Answer :

We have

Given: radius of hemisphere as well as cone (r) = 3.5 cm, height of the solid = 9.5 cm

Height of cone = height of solid – height of hemisphere

⇒ height of the cone = height of solid – radius of hemisphere [∵, height of the cone = hemisphere of the cone]

⇒ height of the cone (h) = 9.5 – 3.5 = 6 cm

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

⇒ Volume of the solid =

⇒ Volume of the solid =

Thus, volume of the solid is 166.83 cm^{3}.

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