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 diameter of a cone represent?

Back

The diameter is the distance across the circular base of the cone, equal to twice the radius.

Front

If the diameter of a cone is 9 inches, what is the radius?

Back

The radius is 4.5 inches.

Front

What units are used to measure volume?

Back

Cubic units, such as cubic inches (in³), cubic centimeters (cm³), and cubic meters (m³).

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

How do you calculate the volume of a cone with a height of 32 inches and a radius of 4.5 inches?

Back

V = (1/3)π(4.5)²(32) = 201.06 cubic inches.

Front

What is the volume of a cone with a radius of 3 inches and a height of 5 inches?

Back

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

Front

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

Back

The diameter is twice the radius (d = 2r).

Front

If a cone has a volume of 12.56 cubic inches, what could be its dimensions?

Back

Possible dimensions: radius = 2 inches, height = 6 inches.

Front

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

Back

V = (1/3)π(2)²(10) = (1/3)π(4)(10) = (40/3)π ≈ 41.89 cm³.