Volume of Cylinder and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Front

How do you calculate the volume of a cone?

Back

V = (1/3) π r² h

Front

If a cone and a cylinder have the same diameter and height, how does their volume compare?

Back

The volume of the cylinder is 3 times greater than the volume of the cone.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm? Use 3.14 for π.

Back

V = 3.14 * (5)² * 10 = 785 cm³

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm? Use 3.14 for π.

Back

V = (1/3) * 3.14 * (4)² * 6 = 50.24 cm³

Front

How do you find the radius of a cylinder if you know its volume and height?

Back

Use the formula r = √(V / (π h)).

Front

What is the relationship between the radius and volume of a cylinder?

Back

The volume increases with the square of the radius.

Front

What is the approximate volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

84.8 cm³

Front

What is the height of a cone if its volume is 150.72 cm³ and the radius is 3 cm?

Back

Use V = (1/3) π r² h to find h.

Front

What is the significance of π in the formulas for volume?

Back

π is a constant that relates the diameter of a circle to its circumference and is essential in calculations involving circular shapes.