How do you round numbers to the nearest whole number?

To round to the nearest whole number, look at the digit in the tenths place. If it's 5 or more, round up; if it's less than 5, round down.

What is the volume of a cylinder with a radius of 6 ft and height of 2 ft?

Using the formula $$V = \frac{22}{7} \times r^2 \times h$$ , the volume is $$V = \frac{22}{7} \times 6^2 \times 2 = 226.08 ft^3$$ .

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

Using the formula $$V = \frac{4}{3} \times \frac{22}{7} \times r^3$$ , the volume is $$V = \frac{4}{3} \times \frac{22}{7} \times 5^3 = 523.6 m^3$$ .

If the volume of a cone is 628 mm³ and the radius is 5 mm, how do you find the height?

Use the formula: $$h = \frac{3V}{\frac{22}{7} \times r^2}$$ . Plugging in the values gives $$h = \frac{3 \times 628}{\frac{22}{7} \times 5^2} = 24 mm$$ .

What is the volume of a sphere with a diameter of 12 ft?

First, find the radius: $$r = \frac{12}{2} = 6 ft$$ . Then use the formula: $$V = \frac{4}{3} \times \frac{22}{7} \times 6^3 = 904.32 ft^3$$ .

How do you calculate the volume of a cylinder with a height of 30 cm and volume of 15,919.8 cm³?

To find the radius, use the formula: $$r = \text{sqrt}igg(\frac{V}{\frac{22}{7} \times h}igg)$$ . Plugging in the values gives $$r = \text{sqrt}igg(\frac{15,919.8}{\frac{22}{7} \times 30}igg) = 13 cm$$ .

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

Using the formula $$V = \frac{1}{3} \times \frac{22}{7} \times r^2 \times h$$ , the volume is $$V = \frac{1}{3} \times \frac{22}{7} \times 3^2 \times 9 = 84 cm^3$$ .

What is the volume of a cylinder with a radius of 4 in and height of 10 in?

Using the formula $$V = \frac{22}{7} \times r^2 \times h$$ , the volume is $$V = \frac{22}{7} \times 4^2 \times 10 = 502.86 in^3$$ .

Flashcard: Volume of Cylinders, Cones and 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 cylinder?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

4.

FLASHCARD QUESTION

Front

How do you find the height of a cylinder if the volume and radius are known?

Back

5.

FLASHCARD QUESTION

Front

How do you find the radius of a cylinder if the volume and height are known?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the radius and height in a cone?

Back

In a cone, the volume is directly proportional to both the radius and height. Increasing either will increase the volume.

7.

FLASHCARD QUESTION

Front

What is the significance of pi (π) in volume calculations?

Back

Pi (π) is a constant used to calculate the area of circles and is essential in volume formulas for cylinders, cones, and spheres.

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