Question

A stack of quarters could be used in an informal argument for which of the following?

Option #1: the formula for the volume of a cone

Option #2: the formula for the volume of a sphere

Option #3: the formula for the volume of a pyramid

Option #4: the formula for the volume of a cylinder

(1 point)
A stack of quarters could be used in an informal argument for the formula described in Option #
.

1 answer

A stack of quarters could be used in an informal argument for the formula for the volume of a cylinder (Option #4).

This is because a stack of quarters can be visualized as a cylinder, where the height is the number of quarters stacked, and the base is the area of a quarter's circular face. The volume of a cylinder is calculated using the formula \( V = \pi r^2 h \), where \( r \) is the radius of the base (the quarter's radius) and \( h \) is the height of the stack (the thickness of the quarters combined).