Volume Review

Front

What is the formula for the volume of a hemisphere?

Back

The volume of a hemisphere is given by the formula V = (2/3)πr³, where r is the radius.

Front

How do you calculate 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 is 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 volume of a cube?

Back

The volume of a cube is calculated using the formula V = s³, where s is the length of a side.

Front

What is the relationship between volume and capacity?

Back

Volume refers to the amount of space an object occupies, while capacity refers to the amount of substance (like liquid) that a container can hold.

Front

What is the volume of a cone?

Back

The volume of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

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

Back

V = π(3 cm)²(5 cm) = 45π cm³, approximately 141.37 cm³.

Front

What is the volume of a sphere?

Back

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

Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius of a cylinder increases its volume exponentially, as volume is proportional to the square of the radius.

Front

What is the vertical cross-section of a cylinder?

Back

The vertical cross-section of a cylinder is a rectangle.