What is the volume of a pyramid with a square base of side length 4 inches and a height of 6 inches?

Using the formula V = $$\frac{1}{3} \times \text{Base Area} \times \text{Height}$$ , the volume is V = $$\frac{1}{3} \times 4^2 \times 6 = 32$$ cubic inches.

How do you find the volume of a cylinder in terms of pi?

To find the volume of a cylinder in terms of pi, use the formula V = $$\text{π}r^2h$$ and leave the answer in terms of π.

What is the volume of a soda can that is 4.83 inches high with a diameter of 2.6 inches?

First, find the radius: r = 1.3 inches. Then, V = $$\text{π} \times (1.3)^2 \times 4.83 = 8.1627\text{π}$$ cubic inches.

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

Using the formula V = $$\text{π}r^2h$$ , the volume is V = $$\text{π} \times 5^2 \times 10 = 250\text{π}$$ cubic inches.

What is the volume of a cone with a radius of 2 inches and a height of 6 inches?

Using the formula V = $$\frac{1}{3} \times \text{π}r^2h$$ , the volume is V = $$\frac{1}{3} \times \text{π} \times 2^2 \times 6 = \frac{8}{3}\text{π}$$ cubic inches.

What is the volume of a pyramid with a triangular base of area 10 square inches and a height of 5 inches?

Using the formula V = $$\frac{1}{3} \times \text{Base Area} \times \text{Height}$$ , the volume is V = $$\frac{1}{3} \times 10 \times 5 = \frac{50}{3}$$ cubic inches.

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

Using the formula V = $$\text{π}r^2h$$ , the volume is V = $$\text{π} \times 3^2 \times 7 = 63\text{π}$$ cubic inches.

What is the volume of a cone with a radius of 5 inches and a height of 12 inches?

Using the formula V = $$\frac{1}{3} \times \text{π}r^2h$$ , the volume is V = $$\frac{1}{3} \times \text{π} \times 5^2 \times 12 = 100\text{π}$$ cubic inches.

Extra Practice: Volume of Prisms, Cylinders, Cones and Pyramids Flashcards

Student preview

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 relationship between the volume of a cone and a cylinder with the same radius and height?

Back

3.

FLASHCARD QUESTION

Front

How do you calculate the volume of a pyramid?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

5.

FLASHCARD QUESTION

Front

If a cylinder has a diameter of 8 inches, what is its radius?

Back

The radius is half of the diameter. Therefore, the radius is 4 inches.

6.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 15 inches?

Back

7.

FLASHCARD QUESTION

Front

What is the volume of a cone with a radius of 3 inches and a height of 9 inches?

Back

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