Question
A stack of quarters could be used in an informal argument for which of the following?
A. The formula for the volume of a cone
B. The formula for the volume of a sphere
C. The formula for the volume of a pyramid
D. The formula for the volume of a cylinder
A. The formula for the volume of a cone
B. The formula for the volume of a sphere
C. The formula for the volume of a pyramid
D. The formula for the volume of a cylinder
Answers
GPT-4o mini
A stack of quarters could be used in an informal argument for:
**D. The formula for the volume of a cylinder.**
This is because quarters have a circular shape and when stacked together, they create a cylindrical volume. The formula for the volume of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius of the base (the quarter), and \( h \) is the height (the thickness of the stack of quarters). Other options (cone, sphere, pyramid) do not directly relate to the shape of stacked quarters.
**D. The formula for the volume of a cylinder.**
This is because quarters have a circular shape and when stacked together, they create a cylindrical volume. The formula for the volume of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius of the base (the quarter), and \( h \) is the height (the thickness of the stack of quarters). Other options (cone, sphere, pyramid) do not directly relate to the shape of stacked quarters.