Volume of Cones, Cylinders, and Spheres

Front

What is the formula for the volume of a cone?

Back

V = \frac{1}{3} \pi r^2 h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

V = \frac{4}{3} \pi r^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What shape has a circular base and tapers to a point?

Back

Cone

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What shape is perfectly round and has no edges or vertices?

Back

Sphere

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the formula for the volume of a cylinder?

Back

V = \pi r^2 h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a sphere is 3 cm, what is its volume?

Back

V = \frac{4}{3} \pi (3)^3 = 36\pi \approx 113.1 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cone is 2 cm and the height is 6 cm, what is its volume?

Back

V = \frac{1}{3} \pi (2)^2 (6) = \frac{24}{3} \pi = 8\pi \approx 25.1 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 \times Radius

Tags

CCSS.7.G.B.4

Front

How does the volume of a cylinder compare to that of a cone with the same base and height?

Back

The volume of the cylinder is three times that of the cone.

Tags

CCSS.3.MD.A.2

Front

What is the unit of measurement for volume?

Back

Cubic centimeters (cm³), liters (L), etc.

Tags

CCSS.3.MD.A.2