Volumes Flashcard

Front

What is the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

Front

What shape is defined by having a circular base and a single vertex?

Back

Cone

Front

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

Back

The volume of a rectangular prism is calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.

Front

What is the distance from the center of a circle to the outside edge called?

Back

Radius

Front

What is the volume of a cube with side length 3 cm?

Back

The volume of a cube is calculated using the formula V = s³, where s is the side length. For a cube with side length 3 cm, V = 3³ = 27 cm³.

Front

What shape has a base that is a polygon and triangular faces that meet at a point?

Back

Pyramid

Front

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

Back

Using the formula V = πr²h, V = π(5)²(10) = 250π cm³ or approximately 785.4 cm³.

Front

What is the volume of a sphere?

Back

The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius.

Front

What is the difference between volume and surface area?

Back

Volume measures the amount of space an object occupies, while surface area measures the total area of the object's surface.

Front

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

Back

Using the formula V = (1/3)πr²h, V = (1/3)π(3)²(9) = 27π cm³ or approximately 84.8 cm³.