SOLUTION: One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm are melted in a cylindrical pot. If the pot has a radius of 75 mm, what i

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm are melted in a cylindrical pot. If the pot has a radius of 75 mm, what i      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1129862: One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm
are melted in a cylindrical pot. If the pot has a radius of 75 mm,
what is the height of the melted candies in the pot?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm are melted in a cylindrical pot.
If the pot has a radius of 75 mm, what is the height of the melted candies in the pot?
:
The volume of a pyramid V = 1%2F3b%5E2%2Ah
V = 1%2F312%5E2%2A15
V = 5*144
V = 720 cu/mm for each candy
Total volume for 100 candies
100 * 720 = 72000 cu/cm
:
let h = the height of the melted chocolate in the round pot
pi%2A75%5E2%2Ah = 72000
h = 72000%2F%28%28pi%2A75%5E2%29%29
turn the crank on your calc
h = 4.07 mm is the height is the melted chocolate