Volume of Pyramids & Cones

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 is the formula for the volume of a pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Front

What does π (pi) represent in volume calculations?

Back

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

Front

How do you find the area of the base of a cone?

Back

The area of the base of a cone is calculated using the formula A = πr², where r is the radius.

Front

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

Back

The volume of a cone increases with the height; doubling the height will double the volume if the base area remains constant.

Front

If the radius of a cone is doubled, how does the volume change?

Back

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

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for providing a practical answer, especially in real-world applications where exact measurements may not be possible.

Front

How do you convert cubic centimeters to cubic meters?

Back

To convert cm³ to m³, divide the volume in cm³ by 1,000,000 (1 m³ = 1,000,000 cm³).

Front

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

Back

V = (1/3)π(2)²(3) = 12.56 m³ (using π ≈ 3.14).

Front

What is the volume of a pyramid with a base area of 40 in² and a height of 6 in?

Back

V = (1/3)(40)(6) = 80 in³.