Volume of a Cone Class Practice

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Front

If the radius of a cone is 3 inches and the height is 9 inches, what is the volume?

Back

V = (1/3)π(3)²(9) = 27π ≈ 84.82 cubic inches

Front

What does 'radius' mean in the context of a cone?

Back

The radius is the distance from the center of the base of the cone to the edge of the base.

Front

What is the height of a cone?

Back

The height is the perpendicular distance from the base to the apex (tip) of the cone.

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2

Front

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

Back

Using V = (1/3)πr²h, solve for r: r = sqrt((3V)/(πh)) = sqrt((3*100)/(π*5)) ≈ 4.64 inches.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

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

Front

If a cone has a radius of 4 inches and a height of 12 inches, what is the volume?

Back

V = (1/3)π(4)²(12) = 64π ≈ 201.06 cubic inches.

Front

What is the unit of measurement for volume?

Back

Common units include cubic inches (in³), cubic centimeters (cm³), and liters (L).

Front

How do you round a number to the nearest hundredth?

Back

Look at the third decimal place: if it's 5 or more, round up the second decimal place by one.