SOLUTION: a conical block of silver has a height of 16c, and a base radius of 12cm.how many coins 1/6cm thick and 1 1/2 cm in diameter can be made by melting the silver? The answer at the

Question 861750: a conical block of silver has a height of 16c, and a base radius of 12cm.how many coins 1/6cm thick and 1 1/2 cm in diameter can be made by melting the silver?
The answer at the back of the book is 8192
please explain in detail and give the solution with steps.
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Volume of cone = 1/3 * pi * r^2*h
=1/3 *pi*12^2*16
=768 pi

Volume of coin = pi r^2 h
=pi*(3/4)^2*(1/6)
=0.09 pi
Number of coins = Volume of cone/volume of coin
=768 pi/0.09 pi
= 8192 coins

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The volume of the silver in the cone form is , and the volume of one coin is .

Simplify each of those volumes.
The cone of silver: ;
Coin of silver: .

How many coin volumes are in one cone volume?

Continue to simplify this rational expression. What does it become?

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