Calculate the volume of a cylinder with a diameter of 8 cm and a height of 10 cm.

The radius is 4 cm. Volume = $$\frac{22}{7} \times 4^2 \times 10 = 320\frac{22}{7}$$ cm^3.

Calculate the volume of a cone with a diameter of 10 cm and a height of 15 cm.

The radius is 5 cm. Volume = $$\frac{1}{3} \times \frac{22}{7} \times 5^2 \times 15 = 250\frac{22}{7}$$ cm^3.

Calculate the volume of a cylinder with a radius of 5 cm and a height of 20 cm.

Volume = $$\frac{22}{7} \times 5^2 \times 20 = 500\frac{22}{7}$$ cm^3.

Calculate the volume of a sphere with a diameter of 12 cm.

The radius is 6 cm. Volume = $$\frac{4}{3} \times \frac{22}{7} \times 6^3 = 864\frac{22}{7}$$ cm^3.

What is the value of $$\frac{22}{7}$$ ?

$$\frac{22}{7}$$ is an approximation of the mathematical constant pi (π), which is approximately 3.14.

What units are used for measuring volume?

Volume is typically measured in cubic centimeters (cm³), liters (L), or cubic meters (m³).

Why is it important to know the volume of 3D shapes?

Knowing the volume helps in various real-life applications such as determining capacity, material requirements, and space utilization.

What is the significance of pi (π) in volume calculations?

Pi (π) is a constant used in formulas for circles and spheres, representing the ratio of the circumference of a circle to its diameter.

Volume of 3D Shapes Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

2.

FLASHCARD QUESTION

Front

How do you find the radius of a sphere if you know the diameter?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

How do you find the radius of a cylinder if you know the diameter?

Back

5.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

7.

FLASHCARD QUESTION

Front

Calculate the volume of a sphere with a diameter of 8 cm.

Back

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