SOLUTION: Hello, One cake is rectangular with a length of 14 inches, a width of 12 inches, and a height of 2 inches. The other cake is round with a radius of 4 inches and a height of 4 i

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Hello, One cake is rectangular with a length of 14 inches, a width of 12 inches, and a height of 2 inches. The other cake is round with a radius of 4 inches and a height of 4 i      Log On


   



Question 231975: Hello,
One cake is rectangular with a length of 14 inches, a width of 12 inches, and a height of 2 inches.
The other cake is round with a radius of 4 inches and a height of 4 inches.
Which cake has more volume?

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
First let's write down the formulas for volume of a rectangular cake.
Volume = Length times Width times Height
The circle cake (this shape is called a cylinder)
Volume = pi time radius squared times height. (pi = 3.14 approx)
Now, plug in the numbers for rectangular cake.
V = 14 x 12 x 2
V = 336 Cubic inches
Circular cake is:
V = 3.14(4^2)(4) (4^2 means 4 squared)
V = 3.14(16)(4)
V = 200.96 Cubic Inches
There you go -- now you know which cake has more volume.
RJ Toftness
www.math-unlock.com