Volume - Cylinders, Cones & Spheres

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula V = (1/3)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 of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you find the radius of a cone if you know the diameter?

Back

The radius is half of the diameter. So, r = diameter/2.

Front

If a cone has a height of 10 cm and a base radius of 9 cm, what is its volume?

Back

The volume is 848 cm³.

Front

What is the approximate volume of a cone with a height of 30 in. and a diameter of 20 in.?

Back

The approximate volume is 3,140 in³.

Front

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

Back

The volume is approximately 523.6 m³.

Front

What is the relationship between the height and volume of a cone?

Back

The volume of a cone increases linearly with height, meaning if the height doubles, the volume also doubles, assuming the base radius remains constant.

Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), and cubic inches (in³).

Front

How does the volume of a cylinder compare to that of a cone with the same base and height?

Back

The volume of a cylinder is three times that of a cone with the same base radius and height.