Volume of a Cone

Front

What is the formula for the volume of a cone?

Back

V = 1/3 π r² h

Front

If the radius of a cone is 3 inches and the height is 5 inches, what is the volume?

Back

V = 1/3 π (3)² (5) = 15.7 in³ (using π ≈ 3.14)

Front

What does 'r' represent in the volume formula of a cone?

Back

The radius of the base of the cone.

Front

What does 'h' represent in the volume formula of a cone?

Back

The height of the cone.

Front

How do you calculate the volume of a cone with a radius of 4 inches and a height of 9 inches?

Back

V = 1/3 π (4)² (9) = 47.8 in³ (using π ≈ 3.14)

Front

What is the volume of a cone with a radius of 2 inches and a height of 10 inches?

Back

V = 1/3 π (2)² (10) = 13.3 in³ (using π ≈ 3.14)

Front

If a cone has a volume of 100 in³, what could be its possible dimensions?

Back

Possible dimensions could be varied; for example, r = 3 in, h = 10.6 in.

Front

What is the relationship between the volume 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.

Front

How does changing the radius of a cone affect its volume?

Back

Increasing the radius increases the volume, while decreasing the radius decreases the volume.

Front

What is the volume of a cone with a radius of 5 inches and a height of 12 inches?

Back

V = 1/3 π (5)² (12) = 62.8 in³ (using π ≈ 3.14)