Which geometric shape would you use the formula V = Bh to find volume?

Which geometric shape would you use the formula V = Bh to find volume?

• A. Sphere
• B. Cylinder
• C. Triangular pyramid
• D. Pyramid

Answer: (B)

The formula V = Bh is used to calculate the volume of a shape where B represents the area of the base and h is the height of the shape. In the case of a cylinder, the base is circular, and B would be the area of the circular base, which can be calculated using the formula for the area of a circle (πr²). The height h represents the distance between the two circular bases of the cylinder. Thus, when applying this formula to a cylinder, you multiply the area of the base (B) by the height (h) to get the total volume. For the other shapes mentioned, the formula for volume varies. A sphere uses a distinct formula that involves the radius and does not rely on a height in the same way. A triangular pyramid and a pyramid both have their own respective formulas that take their specific base shapes and heights into account, which differ from the formula used for a cylinder. Hence, the correct choice aligns directly with the geometric properties of a cylinder, making that option appropriate for the formula V = Bh.

The formula V = Bh is used to calculate the volume of a shape where B represents the area of the base and h is the height of the shape. In the case of a cylinder, the base is circular, and B would be the area of the circular base, which can be calculated using the formula for the area of a circle (πr²). The height h represents the distance between the two circular bases of the cylinder. Thus, when applying this formula to a cylinder, you multiply the area of the base (B) by the height (h) to get the total volume.

For the other shapes mentioned, the formula for volume varies. A sphere uses a distinct formula that involves the radius and does not rely on a height in the same way. A triangular pyramid and a pyramid both have their own respective formulas that take their specific base shapes and heights into account, which differ from the formula used for a cylinder. Hence, the correct choice aligns directly with the geometric properties of a cylinder, making that option appropriate for the formula V = Bh.