Volume of a Cone

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What does the variable 'V' represent in the volume formula?

Back

'V' represents the volume of the cone.

Front

What is the unit of measurement for volume?

Back

Common units include cubic meters (m³), cubic centimeters (cm³), and cubic inches (in³).

Front

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

Back

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

Front

Which of the following is NOT a unit of volume? square miles, inches³, cm³, cubic feet

Back

Square miles is NOT a unit of volume.

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter (r = d/2).

Front

How do you find the radius if you know the diameter of a cone?

Back

Divide the diameter by 2.

Front

What is the volume of a cone with a diameter of 10 inches and a height of 12 inches?

Back

V = (1/3)π(5)²(12) = 100π in³ ≈ 314.16 in³.

Front

What is the significance of π in the volume formula?

Back

π (pi) is a constant approximately equal to 3.14, used to relate the radius to the circumference and area of circles.

Front

If a cone has a height of 8 cm and a radius of 4 cm, what is the volume?

Back

V = (1/3)π(4)²(8) = 42.67 cm³.