Question

Which explanation can be used to informally derive the formula for the volume of a cylinder? a cylinder is similar to a triangular prism except it does not have edges. the volume of a cylinder can be found by using the volume of a triangular prism. however, instead of using the base length of the triangle, use the radius of the cylinder?

Answer 1

The volume of a circle can be expressed as the equation,
V = (πr²)(h)

where V is the volume, r is the radius of the base, and h is the height. The expression πr² in the formula is the area of the circular bases of the cylinder. As for the triangle prism, the base is triangle and the area of the base is found through a different equation. The answer to this item is the last statement.

Answer 2

The correct is one is; A cylinder is like a stack of circles. The volume of the cylinder would be the area of the circle multiplied by the height of the cylinder. The height of the cylinder represents how many circles are in the stack. Therefore, we get the formula πr²h, where πr² represents the area of the circle and h the height of the circle.