High School

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A truck will deliver a shipment of solid concrete spheres. The concrete weighs 137 pounds per cubic foot. The diameter of the sphere is 22 inches. The maximum load weight limit of the truck is 6.0 short tons. What is the maximum number of spheres that can be carried by the truck?

Answer :

The number of spheres that can be carried by the truck is approximately 27

The density of the sphere is given as 137 pounds / ft³

The diameter of the sphere = 22

radius = 11 inches = 11/12 ft

Volume of sphere = 4/3πr³

= 4/3 × 3.14 × (0.92)³

= 3.26 ft³

Density = mass/volume

mass = 137 × 3.26

= 446.62 pounds

6 tons = 6 × 2000= 12000 pounds

number of sphere = 12000/446.62

= 27 ( nearest whole number).

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