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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?

 Nov 27, 2018
 #1
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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

 

 

cool cool cool

 Nov 27, 2018

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