Volume

Front

What is the definition of volume?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

What is the difference between radius and diameter?

Back

The radius is the distance from the center of a circle to any point on its circumference, while the diameter is twice the radius, measuring the distance across the circle through its center.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Front

What is the formula for the volume of a sphere?

Back

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

Front

If a cone has a radius of 4 feet and a height of 3 feet, what is its volume?

Back

The volume is 50.3 ft³.

Front

What shape has a circular base and tapers to a point?

Back

A cone.

Front

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

Back

The volume is 28.3 ft³.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the length of the radius.

Front

What is the volume of a sphere with a radius of 2 feet?

Back

The volume is approximately 33.5 ft³.