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

Using the formula, $$V = \frac{1}{3} \times \text{π} \times (4)^2 \times 9 = 48\text{π} \text{ cm}^3 \text{ or approximately } 150.8 \text{ cm}^3$$ .

What is the volume of a sphere with a radius of 5 in?

Using the formula, $$V = \frac{4}{3} \times \text{π} \times (5)^3 = \frac{500}{3}\text{π} \text{ in}^3 \text{ or approximately } 523.6 \text{ in}^3$$ .

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

Using the formula, $$V = \text{π} \times (3)^2 \times 7 = 63\text{π} \text{ cm}^3 \text{ or approximately } 197.8 \text{ cm}^3$$ .

What is the volume of a cone with a radius of 6 m and height of 10 m?

Using the formula, $$V = \frac{1}{3} \times \text{π} \times (6)^2 \times 10 = 120\text{π} \text{ m}^3 \text{ or approximately } 376.99 \text{ m}^3$$ .

If a sphere has a volume of 904.3 in³, what is its radius?

Using the formula, $$r = igg(\frac{3V}{4\text{π}}igg)^{\frac{1}{3}} = igg(\frac{3 \times 904.3}{4\text{π}}igg)^{\frac{1}{3}} \text{ in}$$ .

What is the volume of a cone with a base radius of 2 ft and height of 3 ft?

Using the formula, $$V = \frac{1}{3} \times \text{π} \times (2)^2 \times 3 = \frac{12}{3}\text{π} = 4\text{π} \text{ ft}^3 \text{ or approximately } 12.57 \text{ ft}^3$$ .

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

First, find the radius: $$r = \frac{10}{2} = 5 \text{ cm}$$ . Then, use the formula: $$V = \frac{4}{3} \times \text{π} \times (5)^3 = \frac{500}{3}\text{π} \text{ cm}^3 \text{ or approximately } 523.6 \text{ cm}^3$$ .

Volume of Cylinders, Cones, Spheres Flashcards

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14 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

What is the formula for the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

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

4.

FLASHCARD QUESTION

Front

How do you find the total volume of a cone and a cylinder?

Back

Tags

CCSS.5.MD.C.5C

5.

FLASHCARD QUESTION

Front

What is the relationship between radius and diameter?

Back

Tags

CCSS.7.G.B.4

6.

FLASHCARD QUESTION

Front

If the radius of a sphere is 3 ft, what is its volume?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 2 m and height of 5 m?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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