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

Front

What is the formula for the volume of a sphere?

Back

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

Front

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

Back

Cone

Front

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

Back

Sphere

Front

What is the formula for the volume of a cylinder?

Back

V = \pi r^2 h

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

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

Front

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

Back

Diameter = 2 \times Radius

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.

Front

What is the unit of measurement for volume?

Back

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