What is the definition of a cylinder?

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

How do you calculate the volume of a cylinder with a radius of 4 and height of 10?

Using the formula $$V=\pi r^2h$$ , the volume is $$V=\pi (4^2)(10)=160\pi$$ cubic units.

What is the unit of measurement for volume?

The unit of measurement for volume is typically cubic units, such as cubic centimeters (cm³) or cubic meters (m³).

What is the definition of a solid figure?

A solid figure is a three-dimensional object that has length, width, and height.

What is the volume of a cylinder with a radius of 3 and height of 5?

Using the formula $$V=\pi r^2h$$ , the volume is $$V=\pi (3^2)(5)=45\pi$$ cubic units.

What is the definition of a sphere?

A sphere is a perfectly round three-dimensional object where every point on the surface is equidistant from the center.

If a cylinder has a height of 7 and a radius of 2, what is its volume?

Using the formula $$V=\pi r^2h$$ , the volume is $$V=\pi (2^2)(7)=28\pi$$ cubic units.

What is the difference between a cone and a cylinder?

A cone has a circular base and tapers to a point, while a cylinder has two parallel circular bases and does not taper.

VOLUME FORMULA Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of radius?

Back

The radius is the distance from the center of a circle or sphere to any point on its circumference or surface.

2.

FLASHCARD QUESTION

Front

What is the relationship between radius and diameter?

Back

The radius of a shape is always half of the diameter.

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

What is the definition of volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

5.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

7.

FLASHCARD QUESTION

Front

If the diameter of a sphere is 12 inches, what is the radius?

Back

The radius is 6 inches.

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