Volume Review

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

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

If the diameter of a cylinder is 12 cm, what is the radius?

Back

Radius = diameter / 2 = 12 cm / 2 = 6 cm.

Front

How do you calculate the volume of a cone?

Back

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

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

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

Back

Volume = π(3 cm)²(5 cm) = 45π cm³ ≈ 141.4 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4 cm)²(9 cm) = 48π cm³ ≈ 150.8 cm³.

Front

What is the volume of a sphere formula?

Back

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

Front

If a cone has a height of 10 inches and a radius of 3 inches, what is its volume?

Back

Volume = (1/3)π(3 in)²(10 in) = 30π in³ ≈ 94.2 in³.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's surface.