What is the value of $$\frac{22}{7}$$ as an approximation for $$\frac{\text{pi}}{3.14}$$ ?

$$\frac{22}{7} \text{ is approximately } 3.14$$ .

How do you calculate the height of a cylinder if you know its volume and radius?

Rearranging the volume formula: $$h = \frac{V}{\frac{22}{7}r^2}$$ .

What is the volume of a cylinder with a radius of 3 and a height of 10?

Using the formula $$V = \frac{22}{7}r^2h$$ , the volume is $$V = \frac{22}{7} \times 3^2 \times 10 = 188.6$$ .

What is the volume of a sphere with a radius of 6?

Using the formula $$V = \frac{4}{3} \times \frac{22}{7}r^3$$ , the volume is $$V = \frac{4}{3} \times \frac{22}{7} \times 6^3 = 904.3$$ .

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

Using the formula $$V = \frac{1}{3} \times \frac{22}{7}r^2h$$ , the volume is $$V = \frac{1}{3} \times \frac{22}{7} \times 4^2 \times 9 = 113.1$$ .

What is the volume of a cylinder with a diameter of 10 and a height of 5?

First, find the radius: $$r = \frac{10}{2} = 5$$ . Then, use the formula: $$V = \frac{22}{7} \times 5^2 \times 5 = 392.5$$ .

If the volume of a cone is 100, what is the height if the radius is 5?

Using the formula $$V = \frac{1}{3} \times \frac{22}{7}r^2h$$ , rearranging gives $$h = \frac{3V}{\frac{22}{7}r^2}$$ . Plugging in values gives $$h = \frac{3 \times 100}{\frac{22}{7} \times 5^2} = 8.0$$ .

What is the volume of a sphere with a diameter of 10?

First, find the radius: $$r = \frac{10}{2} = 5$$ . Then, use the formula: $$V = \frac{4}{3} \times \frac{22}{7} \times 5^3 = 523.3$$ .

What is the volume of a cone with a radius of 3 and a height of 7?

Using the formula $$V = \frac{1}{3} \times \frac{22}{7}r^2h$$ , the volume is $$V = \frac{1}{3} \times \frac{22}{7} \times 3^2 \times 7 = 66.0$$ .

Volume of Cylinders, Cones, and Spheres 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

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

If a cone has a radius of 5 and a height of 12, what is its volume?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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