Question

Please help I have no clue how to do it


A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a
diameter of 8 inches and a height of 2 inches. Which will hold more batter, one
rectangular pan or two round pans?

Answer 1

Answer:

The rectangular pan will hold more batter

Step-by-step explanation:

To find the volume of a rectangular prism, such as the first cake pan, you need to multiply all of the dimensions. The equation looks like this: "V = l * w * h" substituting the variables with the numbers would make it say "13 * 9 * 2" which would be 234 $in^{3}$

To find the volume of a cylinder, the equation is "V=π$r^{2}$h". The radius is half the diameter, so "r" would be 4, being half of 8. The substituted equation would read "π$4^{2}$2", making the cylinder's volume roughly 100.53 $in^{3}$

When you take those two numbers, you are able to see that 234 is bigger than 100.53, therefore making the rectangular pan larger.