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

Using the formula $$V = \frac{22}{7}r^2h$$ , the volume is $$V = \frac{22}{7} \times 3^2 \times 5 = 141.43 cm^3$$ .

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

Using the formula $$V = \frac{1}{3}\times \frac{22}{7}r^2h$$ , the volume is $$V = \frac{1}{3} \times \frac{22}{7} \times 4^2 \times 9 = 113.14 cm^3$$ .

What is the volume of a hemisphere with a radius of 6 cm?

Using the formula $$V = \frac{2}{3}\times \frac{22}{7}r^3$$ , the volume is $$V = \frac{2}{3} \times \frac{22}{7} \times 6^3 = 150.8 cm^3$$ .

What is a composite shape?

A composite shape is a shape that is made up of two or more simple shapes.

How do you calculate the volume of a composite shape made of a cylinder and a hemisphere?

Calculate the volume of the cylinder and the hemisphere separately, then add the two volumes together.

What is the volume of a cylinder with a height of 10 m and a radius of 2 m?

Using the formula $$V = \frac{22}{7}r^2h$$ , the volume is $$V = \frac{22}{7} \times 2^2 \times 10 = 88.57 m^3$$ .

What is the volume of a composite solid made of a cone and a cylinder?

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

What is the importance of using π in volume calculations?

π (pi) is essential in volume calculations involving circles and circular shapes, as it relates the diameter and radius to the area and volume.

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

What is the formula for the volume of a hemisphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

How do you find the total volume of composite shapes?

Back

To find the total volume of composite shapes, calculate the volume of each individual shape and then sum them up.

Tags

CCSS.5.MD.C.5C

4.

FLASHCARD QUESTION

Front

What is the volume formula for a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

FLASHCARD QUESTION

Front

What is the diameter of a circle?

Back

The diameter of a circle is the distance across the circle through its center, equal to twice the radius.

Tags

CCSS.HSG.C.A.2

6.

FLASHCARD QUESTION

Front

What is the radius of a circle?

Back

The radius of a circle is the distance from the center of the circle to any point on its circumference.

7.

FLASHCARD QUESTION

Front

If a cylinder has a diameter of 10 feet, what is its radius?

Back

The radius is half of the diameter, so the radius is 5 feet.

Tags

CCSS.7.G.B.4

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