A storage silo is in the shape of a cylinder with a hemisphere at the top. The total height of the silo is 35ft. The circumference of the cylinder is 22ft. What is the radius of the silo?Find the height of the cylindrical portion of the silo? What is the volume of the cylindrical portion of the silo?What is the volume of the hemispherical portion of the silo? What is the total volume of the silo?
Circumference L = 2πR , so radius of cylinder is : R = L / 2π = 22 / 2π = 11/π ( ≈ 3.50 ) The height of the hemisphere is R The height of the cylinder is Hc The total height 35 = Hc + R → Hc = 35 - 11/π ( ≈ 31.50 ) The volume of the cylinder : Vc = πR?Hc = π 121 * ( 35 - 11/π ) / π? = 121( 35π - 11 ) / π? ≈ 1 213.184 The volume of the hemisphere : Vs = (1/2) * 4πR? / 3 = 2π* 1331 / 3π? = 2662 / 3π? ≈ 89.906 The total volume is V = Vc + Vs ≈ 1 303.09
