SOLUTION: First I had to find the volume of a cylindrical can measuring 10cm high with a radius of 4cm. The answer I found was 502cm3 rounded to the nearest whole number. Now, I need to de

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Question 33291: First I had to find the volume of a cylindrical can measuring 10cm high with a radius of 4cm. The answer I found was 502cm3 rounded to the nearest whole number. Now, I need to design a rectangular box on centimeter graph paper that will have the same volume (rounded to the nearest whole number) as the cylindrical can. I know the volume of a rectangular box is lxwxh. How would I calculate the dimensions knowing the volume is equal to the cylindrical can? PLease help. I need to design 3 other rectangular boxes as well with the same volume but once I know how to design the first box, I will hopefully be able to do the others.
Answer by stanbon(48516) (Show Source):
You can put this solution on YOUR website!
The volume of the cylindrical can is (pi)(r^2)h=394.78 cu. cm.
Round that up to 395 cu.cm.
A rectangular box with an equal volumne can have a side
of cube root(395).
That would be 7.34 cm for the length, width, and height.
Cheers,
Stan H.