When baking a cake,you have a choice of the following pans:
:A round cake pan that is 2 inches deep and have a 7 inch diameter
: a 6 inch x 9 inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume
The rectangular cake pan has the larger volume.
Volume of round cake pan = (π) x (radius)^2 x (depth)
= (π) x (3.5)^2 x 2
= 24.5π cubic inches
Volume of rectangular cake pan = (length) x (width) x (depth)
= 6 x 9 x 2
= 108 cubic inches
Therefore, the rectangular cake pan has a larger volume than the round cake pan.