Volume of Simple and Compound 3D Shapes in Engineering Contexts

Determine the volume of a cylinder block of alloy that has a radius of 5 cm and a height of 10 cm. State your answer to 1 decimal place.

(Your answer will be in cm³)

Mathematical Equivalence

ON

Determine the volume of the trailer shown. State your answer to 1 decimal place.

(Your answer will be in m³)

Mathematical Equivalence

ON

A water company uses a cylindrical water tank to transport water. The cylindrical tank has a radius of 4 m and a height of 6 m. Determine the volume of the tank. State your answer to 2 decimal places.

(Your answer will be in m³)

Mathematical Equivalence

ON

A cone is filled with water up to a height of 9 cm. If the radius of the cone is 7 cm, what is the volume of water in the cone? State your answer to 2 decimal places.

(Your answer will be in cm³)

Mathematical Equivalence

ON

A spherical balloon has a radius of 10 cm. What is the volume of air inside the balloon? State your answer to 2 decimal places.

(Your answer will be in cm³)

Mathematical Equivalence

ON

A compound shape is made by combining a cylinder and a cone. The diameter for both the cylinder and the cone is 12 cm. The cylinder has a height of 8 cm, while the cone has a height of 10 cm. Find the total volume of the compound shape. State your answer to 2 decimal places.

(Your answer will be in cm³)

Mathematical Equivalence

ON

A compound shape is formed by joining a hemisphere and a cylinder. The radius of the hemisphere is 5 cm and the height of the cylinder is 10 cm. Determine the total volume of the compound shape. State your answer to 1 decimal place.

(Your answer will be in cm³)

Mathematical Equivalence

ON

A cylindrical container has a radius of 3 m and a height of 5 m. A spherical ball with a radius of 2 m is placed inside the container. Calculate the remaining volume of the container. State your answer to 2 decimal places.

(Your answer will be in m²)

Mathematical Equivalence

ON

A cylindrical hole is to be drilled through a square-faced cuboid block to create a piston housing as shown in the diagram. The dimensions of the cuboid block are 70 mm x 70 mm x 150 mm. The diameter of the cylindrical hole to be drilled through is 60 mm. Determine the volume of material remaining for the piston housing once the cylindrical hole has been drilled through. State your answer as an integer value (whole number).

(Your answer will be in mm³)

Mathematical Equivalence

ON

A client has provided an engineering drawing of a component that needs to be machined. Calculate the volume of this component. State your answer to 2 decimal places.

(Your answer will be in mm³)

Mathematical Equivalence

ON