Question
A stack of quarters could be used in an informal argument for which of the following?(1 point)
Responses
the formula for the volume of a cylinder
the formula for the volume of a cylinder
the formula for the volume of a sphere
the formula for the volume of a sphere
the formula for the volume of a cone
the formula for the volume of a cone
the formula for the volume of a pyramid
Responses
the formula for the volume of a cylinder
the formula for the volume of a cylinder
the formula for the volume of a sphere
the formula for the volume of a sphere
the formula for the volume of a cone
the formula for the volume of a cone
the formula for the volume of a pyramid
Answers
GPT-4o mini
A stack of quarters could be used in an informal argument for **the formula for the volume of a cylinder**.
Here's why:
Quarters are cylindrical in shape, and a stack of them forms a cylinder. The volume of a cylinder is calculated using the formula \( V = \pi r^2 h \), where \( r \) is the radius of the base (the radius of a quarter), and \( h \) is the height (the thickness of the stack of quarters).
The other options (sphere, cone, pyramid) do not directly relate to the shape of a stack of quarters.
Here's why:
Quarters are cylindrical in shape, and a stack of them forms a cylinder. The volume of a cylinder is calculated using the formula \( V = \pi r^2 h \), where \( r \) is the radius of the base (the radius of a quarter), and \( h \) is the height (the thickness of the stack of quarters).
The other options (sphere, cone, pyramid) do not directly relate to the shape of a stack of quarters.