Volume of Cone

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

What does π (pi) represent in geometry?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

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

Back

Volume = (1/3) × 3.14 × (3 mm)² × (9 mm) = 84.8 mm³.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up. If it's less than 5, round down.

Front

What is the volume of a cone with a radius of 5 in and a height of 12 in?

Back

Volume = (1/3) × 3.14 × (5 in)² × (12 in) = 78.5 in³.

Front

What is the significance of the height in the volume of a cone?

Back

The height determines how tall the cone is, affecting the overall volume.

Front

What happens to the volume of a cone if the radius is doubled?

Back

If the radius is doubled, the volume increases by a factor of 4, since volume is proportional to the square of the radius.

Front

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

Back

Volume = (1/3) × 3.14 × (4 cm)² × (9 cm) = 150.72 cm³.

Front

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

Back

The volume of a cone increases with the square of the radius; as the radius increases, the volume increases significantly.

Front

How do you calculate the volume of a cone using 3.14 for π?

Back

Substitute 3.14 into the formula: Volume = (1/3) × 3.14 × r² × h.