Volume of a cone

Front

What is the formula for Volume of a Cone?

Back

V = (1/3)π r²h

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 3 cm and a height of 5 cm?

Back

V = (1/3)π (3)²(5) = 15π cm³ ≈ 47.12 cm³.

Front

If the diameter of a cone is 10 cm, what is the radius?

Back

The radius is 5 cm (radius is half of the diameter).

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

V = (1/3)π (4)²(9) = 48π cm³ ≈ 150.8 cm³.

Front

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

Back

The volume of a cone is one-third that of a cylinder with the same base and height.

Front

What is the volume of a cone with a radius of 2 m and a height of 3 m?

Back

V = (1/3)π (2)²(3) = 12/3π m³ = 4π m³ ≈ 12.57 m³.

Front

If a cone has a volume of 100 cm³ and a height of 5 cm, what is the radius?

Back

Using V = (1/3)π r²h, r = sqrt((100 * 3) / (π * 5)) ≈ 2.52 cm.

Front

What is the volume of a cone with a radius of 6 inches and a height of 10 inches?

Back

V = (1/3)π (6)²(10) = 120π in³ ≈ 376.99 in³.