Volume of Cones, Cylinders and Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

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

Back

Radius = Diameter / 2.

Front

What is the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

If a cylinder has a diameter of 10 feet, what is its radius?

Back

Radius = 10 feet / 2 = 5 feet.

Front

Calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm. Use π = 3.14.

Back

Volume = 3.14 * (3 cm)² * (5 cm) = 141.3 cm³.

Front

What is the relationship between the volumes of two spheres if one has a radius twice that of the other?

Back

The volume of the larger sphere is 8 times the volume of the smaller sphere.

Front

How do you round the volume of a solid to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the volume of a cone with a radius of 4 inches and a height of 9 inches? Use π = 3.14.

Back

Volume = (1/3) * 3.14 * (4 in)² * (9 in) = 150.72 in³.

Front

What is a composite figure in geometry?

Back

A composite figure is made up of two or more simple geometric shapes.