Given:Height (h) of conical vessel =8 cmRadius (r1​) of conical vessel =5 cmRadius (r2​) of lead shots =0.5 cmLet x number of lead shots were dropped in the vessel.Volume of the cone =31​π(r1​)3Volume of water spilled = Volume of dropped lead shots According to the question41​×31​πr12​h=x×34​×πr23​⟹r12​h=x×16r23​⟹52×8=x×16×(0.5)3⟹200=x×2⟹x=2200​⇒x=100.Therefore, the number of lead shots dropped in the vessel is 100.