A round cake pan that is 2in deep and has a 7in diameter, plus a 6in by 9in rectangular cake pan that is 2in deep. Which of these pans has the larger volume and why?
four years later and its still a mistery
so is Steve correct....or....
well, which is larger:
2π(7/2)^2 or 2*8*9 ?
yaaassss anonymous
NO she is not!! yall are hating for some stupid reasons saying " OoOh ThIs DoEsN't HeLp Me At AlL" well shes the teacher...or at least she was...but she was a heck of alot smarter than you all hating on her....just stating the facts people...and P.S read the things they give you its the whole reason they are here
Again y’all r no help
To determine which of the two cake pans has the larger volume, we need to calculate the volume of each pan using the formula for volume of a cylinder and the formula for volume of a rectangular prism.
1. Volume of the round cake pan:
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius of the circular base, and h is the height.
In this case, the diameter of the round cake pan is 7 inches, so the radius would be half of that, which is 3.5 inches. The height is given as 2 inches.
Plugging the values into the formula, we have:
V = π(3.5)^2(2)
V ≈ 38.48 cubic inches
2. Volume of the rectangular cake pan:
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
In this case, the length is given as 9 inches, the width is given as 6 inches, and the height is given as 2 inches.
Plugging the values into the formula, we have:
V = (9)(6)(2)
V = 108 cubic inches
Comparing the volumes:
The round cake pan has a volume of approximately 38.48 cubic inches, while the rectangular cake pan has a volume of 108 cubic inches. Therefore, the rectangular cake pan has a larger volume.
In summary, the rectangular cake pan has the larger volume because it has a greater length, width, and height compared to the round cake pan.