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Question:

Need size of a cylindrical can, able to contain 1/2 litre drink, maufactured from aluminum, volume is 500cm3?

I'm desperate cuz this is needed to pass 8th grade! Please help me.The teacher made us write a page that has radius/height/surface area/volume across the top, and I need a combo for the 20 (increasing) radius beginning with 0.5 and graduating to 10.0The vol499.95-500.5 THANK YOU VERY MUCH! Here are tips:Need to find the radius and height of the can which will use the least aluminum,(ie: find out how to minimise the surface area of the can)WHAT SHAPE IS YOUR CAN? DO YOU KNOW OF ANY CANS WITH THIS SHAPE? Let the radius of the can be r cm, and the height be h cmWrite down algebraic expressions which give:-the volume of the can-the total surface area of the can, in terms of r and h(Remember to include the two ends!)Using the fact that the volume of the can must be 500 cm3, -you could either try to find some possible pairs of values for r and h (do this systematically if you can)-for each of your pairs, find out the corresponding surface area.

Answer:

Vhpir^2, hV/(pir^2) A 2pir^2 + 2hpir 2(pir^2+V/r) A2V/h +2V/r 2V(1/h+1/r) Note: r h are no longer independent variables if you fix V From here on, it's guess-and-checkgood luck.
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