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.

Tags

CCSS.3.MD.A.2

Front

What is volume?

Back

The amount of space in a 3-D object.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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

Back

True.

Tags

CCSS.7.G.A.3

Front

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

Back

The volume of a cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of a sphere.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

V=πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The radius of the base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The height of the shape.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.3.MD.A.2