SOLUTION: 1) How many coins, each radius 0.75 cm and thickness 0.2 cm, have to be melted to make a right circular cylinder of height 8 cm and base diameter 6 cm? 2) Water is being pumped

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Question 1019523: 1) How many coins, each radius 0.75 cm and thickness 0.2 cm, have to be melted to make a right circular cylinder of height 8 cm and base diameter 6 cm?
2) Water is being pumped into a water tank of dimensions 10 m X 7.5 m X 4 m at the rate of 400 L per minute. What is the time taken to fill the tank completely?

Answer by ikleyn(52785)   (Show Source): You can put this solution on YOUR website!
.
1) How many coins, each radius 0.75 cm and thickness 0.2 cm, have to be melted to make a right circular cylinder
of height 8 cm and base diameter 6 cm?
The diameter of each coin is 1.5 cm, and you need  =  = 16 coins to get an equivalent base area.

Then you need  = 40 layers of coins of thickness 0.2 cm to get the height of 8 cm.

Now multiply 16*40 = 640, and you will get the required number of coins.

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2) Water is being pumped into a water tank of dimensions 10 m X 7.5 m X 4 m at the rate of 400 L per minute.
What is the time taken to fill the tank complete?
Volume of the tank  10*7.5*4 = 300   divide by the rate  0.4 :    = 750 minutes =   hours.


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