Calculate the volume of a sphere with a radius of 3 cm.

Using the formula $$V = \frac{4}{3}\text{π}r^3$$ , the volume is $$V = \frac{4}{3}\text{π}(3^3) = 36\text{π}$$ cm³.

What is the formula for the volume of a rectangular prism?

The volume of a rectangular prism is calculated using the formula: $$V = l \times w \times h$$ , where l is the length, w is the width, and h is the height.

Calculate the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm.

Using the formula $$V = l \times w \times h$$ , the volume is $$V = 4 \times 3 \times 5 = 60$$ cm³.

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Using the formula $$V = \frac{1}{3}\text{π}r^2h$$ , the volume is $$V = \frac{1}{3}\text{π}(4^2)(9) = 48\text{π}$$ cm³.

Calculate the volume of a cylinder with a radius of 3 cm and a height of 7 cm.

Using the formula $$V = \text{π}r^2h$$ , the volume is $$V = \text{π}(3^2)(7) = 63\text{π}$$ cm³.

What is the significance of the slant height in a cone?

The slant height is not used in the volume formula but is important for calculating the surface area of the cone.

What units are used to measure volume?

Volume is typically measured in cubic units, such as cm³, m³, or liters.

How does changing the radius of a cone affect its volume?

The volume of a cone increases with the square of the radius, meaning if the radius doubles, the volume increases by a factor of four.

Volume of 3D Shapes Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

Calculate the volume of a cone with a radius of 5 cm and a height of 12 cm.

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

What is the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm.

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

What is the relationship between the radius and diameter of a circle?

Back

6.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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