what are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1728 cm^3

Question

tkhunny · Answer

"lightest"?  I'm thinking you'll have to specify the materials and their weights.

triciaal · Answer

the question asked for the dimensions of the cylinder given the volume the material should not matter  V = pi*r^2*h however the smallest height would need to be considered since we have 2 unknowns. except for r= 1 and h = 1 then r^2 will always be > h. r is the radius and h is the height

it is odd to ask for the lightest dimension

triciaal · Answer

when the radius = height
v = pi*r^3
r = (1728/pi)^1/3