We know that H=4h (given) & R, the radius =75 &The total Volume = V₁+V₂, We also know that the hopper has one cylinder & 2 equal cones Hence πR². H + 2 [(1/3).πR².h] =343,000 ft³ π(75)².H + 2[(1/3).π(75)².h] =343,000 But H = 4h, then π(75)².4h + 2[(1/3).π(75)².h] =343,000. Solve for h 26250.π.h = 81,466.8.h = 343,000
