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?

Marss Nov 27, 2018

#1**+1 **

The volume of each of the candies is given by

(1/3) *base area * (height) = (1/3) (12^2)(15) = 720mm^3

So .....100 of them have a volume of 72000 mm^2

So.....we want to solve this

72000 = pi (75)^2 * height ......divide both sides by pi(75)^2

72000 / [ pi * (75)^2 ] = height ≈ 4.07 mm

CPhill Nov 27, 2018