Volume of Cylinders, Cones, and Spheres

Front

What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?

Back

The cone is 1/3 the volume of the cylinder.

Front

What is volume?

Back

The amount of space in a 3-D object.

Front

True or False: One similarity of cylinders, cones, and spheres is that they all have circular cross sections.

Back

True.

Front

What is the formula V=1/3πr²h used to find?

Back

The volume of a cone.

Front

What is the formula V=4/3πr³ used to find?

Back

The volume of a sphere.

Front

What is the formula for the volume of a cylinder?

Back

V=πr²h.

Front

What does 'r' represent in the volume formulas for cylinders, cones, and spheres?

Back

The radius of the base.

Front

What does 'h' represent in the volume formula for a cone and cylinder?

Back

The height of the shape.

Front

How do you calculate the volume of a cylinder?

Back

Multiply the area of the base (πr²) by the height (h).

Front

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

Back

The volume of the cone is 1/3 of the volume of the cylinder.