If Juan can consume in one sitting one medium (12-inch diameter), deep-dish (1-inch thick) pizza, what is the minimum volume of his stomach?
How thick is the pizza? (I can't imagine this question in a text. It seems flawed to me. I would wait to hear from others, but the information seems really incomplete).
This is a dumb question (my opinion only).
If he has an empty stomach, wouldn't the minimum volume be the volume of the pizza?
This is a complete guess.
Sphere volume = 4/3 pi r^3
Is the pizza a sphere? Always assumed it was more like a cylinder.
To find the minimum volume of Juan's stomach, you need to calculate the volume of the pizza he can consume in one sitting.
The volume of a cylinder, such as a pizza, is calculated using the formula: V = πr^2h, where V represents volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder's base, and h is the height of the cylinder.
In this case, the pizza is a deep-dish with a 12-inch diameter, which means the radius (r) is half of the diameter, so r = 12/2 = 6 inches. The height (h) of the pizza is given as 1 inch.
Now, let's calculate the volume of the pizza:
V = πr^2h
V = 3.14 * 6^2 * 1
V = 3.14 * 36 * 1
V = 113.04 cubic inches (rounded to two decimal places)
Therefore, the minimum volume of Juan's stomach should be at least 113.04 cubic inches to accommodate the entire pizza.