What is the volume of a cylinder with a base area of 80 cm² and a height of 12 cm?

Using the formula, the volume is: $$V = 80 \times 12 = 960 \text{ cm}^3$$ .

What is the volume of a pyramid?

The volume of a pyramid is given by the formula: $$V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$$ .

If a cone has a volume of 150.72 cm³, what could be its dimensions?

Possible dimensions could be a base area of 50 cm² and a height of 9.04 cm, calculated using $$V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$$ .

What is the volume of a prism?

The volume of a prism is calculated as: $$V = \text{Base Area} \times \text{Height}$$ .

How do you calculate the volume of a cone with a radius of 3 cm and height of 6 cm?

Using the formula: $$V = \frac{1}{3} \times \text{π} \times (3^2) \times 6 = 18\text{π} \text{ cm}^3$$ .

What is the significance of the base area in volume calculations?

The base area is crucial as it determines the size of the base shape, which directly affects the overall volume of the solid.

What is the volume of a sphere with a radius of 3 ft?

Using the formula: $$V = \frac{4}{3} \times \text{π} \times (3^3) = 36\text{π} \text{ ft}^3$$ .

If the volume of a figure is 192 cm³, what could be its dimensions?

Possible dimensions could be a base area of 48 cm² and a height of 4 cm, calculated using $$V = \text{Base Area} \times \text{Height}$$ .

Volume of prisms, pyramids, cones, cylinders, 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 cone?

Back

2.

FLASHCARD QUESTION

Front

How is the height of a cone related to its radius in the given problem?

Back

In the problem, the height of the cone is equal to two times the radius of the base.

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

5.

FLASHCARD QUESTION

Front

If the base area of a cone is 25π and the height is 2r, what is the volume?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the radius and volume of a sphere?

Back

7.

FLASHCARD QUESTION

Front

How do you find the radius of a sphere if the volume is given?

Back

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