What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Using the formula $$V = \text{πr}^2h$$ , the volume is $$V = \text{π}(3^2)(5) = 45\text{π} \text{ cm}^3$$ .

What is the volume of a cone with a radius of 2 cm and a height of 6 cm?

Using the formula $$V = \frac{1}{3} \text{πr}^2h$$ , the volume is $$V = \frac{1}{3} \text{π}(2^2)(6) = \frac{24}{3}\text{π} = 8\text{π} \text{ cm}^3$$ .

What is the volume of a composite shape made of a cylinder and a hemisphere?

To find the volume, calculate the volume of the cylinder and the hemisphere separately and then add them together.

What is the volume of a cube with a side length of 4 cm?

The volume of a cube is given by the formula: $$V = s^3$$ , where s is the side length. Thus, $$V = 4^3 = 64 \text{ cm}^3$$ .

What is the volume of a prism with a triangular base?

The volume of a triangular prism is given by the formula: $$V = \text{Base Area} \times \text{Height}$$ .

How do you find the volume of a composite shape with a hole?

Calculate the volume of the outer shape and subtract the volume of the hole.

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

First, find the radius (r = 5 cm). Then, use the formula $$V = \text{πr}^2h$$ . Thus, $$V = \text{π}(5^2)(7) = 175\text{π} \text{ cm}^3$$ .

What is the importance of using π in volume calculations?

π is a constant that represents the ratio of the circumference of a circle to its diameter, and it is essential for calculating volumes of circular shapes.

Volume of Composite 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 cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

How do you find the volume of a composite shape?

Back

To find the volume of a composite shape, break it down into simpler shapes, calculate the volume of each shape, and then sum the volumes.

Tags

CCSS.5.MD.C.5C

3.

FLASHCARD QUESTION

Front

What is the volume of a hemisphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

What is the volume of a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

What is the volume of a rectangular prism?

Back

Tags

CCSS.7.G.B.6

6.

FLASHCARD QUESTION

Front

What is the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cubic centimeters to cubic meters, divide the volume in cubic centimeters by 1,000,000 (since 1 m^3 = 1,000,000 cm^3).

Tags

CCSS.5.MD.A.1

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