Volume of a Cone

Front

What is the formula for the volume of a cone?

Back

V = (1/3)π r²h

Front

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

Back

84.8 mm³

Front

If the radius of a cone is 6 in and the height is 15 in, what is the volume?

Back

565.2 in³

Front

What does π (pi) represent in the volume formula?

Back

π is a constant approximately equal to 3.14, used to calculate the circumference and area of circles.

Front

How do you round a decimal to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

Front

What is the volume of a cone with a radius of 4 cm and a height of 12 cm?

Back

V = (1/3)π (4)²(12) = 50.3 cm³ (using π ≈ 3.14)

Front

What is the volume of a cone with a radius of 5 m and a height of 10 m?

Back

V = (1/3)π (5)²(10) = 261.7 m³ (using π ≈ 3.14)

Front

What is the relationship between the radius and height in the volume formula for a cone?

Back

Both the radius and height are used to calculate the volume, with the radius squared and multiplied by height.

Front

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

Back

V = (1/3)π (2)²(3) = 12.6 ft³ (using π ≈ 3.14)

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.