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Volume of Simple and Compound 3D Shapes in Engineering Contexts

Authored by Jaan Ansari

Mathematics

12th Grade

Used 5+ times

Volume of Simple and Compound 3D Shapes in Engineering Contexts
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10 questions

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1.

MATH RESPONSE QUESTION

2 mins • 1 pt

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

2.

MATH RESPONSE QUESTION

2 mins • 1 pt

Media Image

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

(Your answer will be in m3)

Mathematical Equivalence

ON

3.

MATH RESPONSE QUESTION

2 mins • 1 pt

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

4.

MATH RESPONSE QUESTION

2 mins • 1 pt

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

5.

MATH RESPONSE QUESTION

2 mins • 1 pt

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

6.

MATH RESPONSE QUESTION

2 mins • 1 pt

Media Image

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

7.

MATH RESPONSE QUESTION

2 mins • 1 pt

Media Image

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

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