100 pyramid shaped chocolate candies with a square base of 12 mm size and height of 15 mm are melted in a cylinder coil pot if the part has a radius of 75 mm what is the height of the melted candies in the pot.

Answer: the height of the melted candies in the pot is 12.2 mm

Step-by-step explanation:

The formula for determining the volume of a square base pyramid is expressed as

Volume = area of base * height

Area of the square base = 12² = 144 mm²

Volume of each pyramid = 15 * 144 = 2160 mm³

The volume of 100 pyramid shaped chocolate candies is

2160 * 100 = 216000 mm³

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Since the pyramids was melted in the cylindrical pot whose radius is 75 mm, it means that

216000 = 3.14 * 75² * h

17662.5h = 216000

h = 216000/17662.5

h = 12.2 mm