Find The Weight Of Sea Water In A Drum

A cylindrical drum, 1.6 meters high has a diameter of 90 cm. Find the weight of sea water it contains if filled to capacity.

Given:

    Height = 1.6 m
Diameter = 90 cm

What is asked:

Weight of sea water it would contain

Solution:

1. Convert first the 90 cm diameter into meter, and then get the radius.

          90 cm ×  1 m      = 0.90 m
                         100 cm

         Radius = Diameter ÷ 2
                     = 0.90 m ÷ 2
                     = 0.45 m

2. We have to solve for the volume of cylindrical drum.

            Volume of cylinder = (πr²) × height
                                             = ( 3.1416 × (0.45 m)² × 1.6 m
                                             = 3.1416 × 0.2025 m² × 1.6 m
                                             = 1.01787 m³

3. We can now proceed to solve for the weight of sea water it would contain.

                                  Weight = Density × Volume
                                              = 1.025 tons/m³ × 1.01787 m^{3
                                              = 1.04 tons}

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