What is the volume of a cone with a height of 12 cm and a base radius of 2 cm?

$$V = \frac{1}{3} \pi (2^2)(12) = 16\pi \approx 50.27 cm^3$$ .

If the volume of a cone is 150.8 cm³, what could be its height if the base radius is 3 cm?

Use the formula: $$150.8 = \frac{1}{3} \pi (3^2)h$$ , solving gives h ≈ 17.8 cm.

What is the relationship between the height and volume of a cone?

The volume increases with height; doubling the height doubles the volume if the base area remains constant.

What is the significance of the factor $$\frac{1}{3}$$ in the volume formula of a cone?

It accounts for the fact that a cone occupies one-third the volume of a cylinder with the same base and height.

How do you round the volume of a cone to the nearest tenth?

Look at the hundredths place; if it's 5 or more, round up.

What is the volume of a cone with a base radius of 5 cm and a height of 10 cm?

$$V = \frac{1}{3} \pi (5^2)(10) = \frac{250}{3}\pi \approx 261.8 cm^3$$ .

If a cone's volume is 56.55 in³, what could be its dimensions?

Possible dimensions could be a radius of 3 in and height of 6 in, calculated using the volume formula.

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

$$V = \frac{1}{3} \pi (4^2)(9) = 48\pi \approx 150.8 in^3$$ .

Volume of Cones Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the VOLUME of a CONE?

Back

2.

FLASHCARD QUESTION

Front

What does B represent in the volume formula of a cone?

Back

B represents the area of the base of the cone.

3.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

4.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cone?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the volume of a cone with a diameter of 8 inches and a height of 10 inches?

Back

7.

FLASHCARD QUESTION

Front

How many cubic inches of popcorn do 3 cone-shaped containers hold if one holds 167.55 in³?

Back

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