What is the surface area formula for a cone?

The surface area of a cone is given by: $$SA = \text{π}r(r + l)$$ , where l is the slant height.

If a triangular prism has a base area of 10 cm² and a height of 5 cm, what is its volume?

The volume is calculated as: $$V = \text{Base Area} \times \text{Height} = 10 \times 5 = 50 \text{ cm}^3$$ .

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

The volume of a cone is one-third that of a cylinder: $$V_{cone} = \frac{1}{3} V_{cylinder}$$ .

How do you convert the volume of a prism from cm³ to liters?

To convert cm³ to liters, divide by 1000: $$1 \text{ L} = 1000 \text{ cm}^3$$ .

What is the volume of a cone with a height of 12 cm and a radius of 3 cm?

Using the formula $$V = \frac{1}{3} \text{π}r^2h$$ , the volume is: $$V = \frac{1}{3} \text{π}(3^2)(12) = 36\text{π} \text{ cm}^3$$ .

What is the formula for the volume of a rectangular prism?

The volume of a rectangular prism is given by: $$V = \text{Length} \times \text{Width} \times \text{Height}$$ .

If a pyramid has a base area of 20 cm² and a height of 9 cm, what is its volume?

Using the formula $$V = \frac{1}{3} \text{Base Area} \times \text{Height}$$ , the volume is: $$V = \frac{1}{3}(20)(9) = 60 \text{ cm}^3$$ .

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: $$V = \text{π}r^2h = \text{π}(5^2)(7) = 175\text{π} \text{ cm}^3$$ .

Volume of Cylinders, Cones, Prisms, & pyramids 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

How do you calculate the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the volume of a prism?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the volume of a pyramid?

Back

5.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

6.

FLASHCARD QUESTION

Front

What is the height of a cone with a volume of 60π cm³ and a base radius of 4 cm?

Back

7.

FLASHCARD QUESTION

Front

How do you find the height of a prism if you know its volume and base area?

Back

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