Volume of Hollow Spheres & Density - Notes & CW/HW

Find the volume of a hollow metal ball with an inside diameter of 10 inches and a thickness of material of 0.4 inches.

• 135.98 in^3

• 115.88 in^3

• 482.82 in^3

• 523.03 in^3

A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.25 pound per cubic foot.

What is the weight, in pounds, of the contents in the container?

• 0.25 pounds

• 408 pounds

• 102 pounds

• 100 pounds

An engineer makes metal parts in the shape of hollow spheres. The larger diameter of the sphere is 6 in and the thickness of each sphere is 0.5 in.

What is the amount of metal in each part?

• 597.43 in^3

• 660.26 in^3

• 245.57 in^3

• 207.87 in^3

Find the volume of the hollow sphere.

• 1,621.06

• 1,021.60

• 1,500.36

• 2,451.23

A box has a volume of 85 cm^3 and a density of 1.2 g/cm^3.

What is the mass of the box?

• 102 g

• 312 g

• 100 g

• 221 g

A carpenter creates a wooden part for a toy. The part has a volume of 215 cubic centimeters. Wood can be purchased for $0.49 per kilogram and has a density of 1.5 g/cm^3.

If the carpenter makes 350 of these parts, what is the cost of the wood to the nearest dollar?

• $0.49

• $350

• $55,309

• $55

A bakery sells hollow chocolate spheres. The larger diameter of each sphere is 9 cm. The thickness of the chocolate of each sphere is 0.5 cm. Label your answers!!

1) What is the amount of chocolate in each hollow sphere? State your answer to the nearest tenth of a cubic centimeter.

2) The bakery packages 35 of them into a box. If the density of the chocolate is 2.789 g/cm^3, what is the total mass of the chocolate in the box? State your answer to the nearest gram.

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