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Question:

A silo (cylinder with a hemisphere on top) has a volume of 30,000 m^3.What are its dimensions?Thanks...?

A silo (cylinder with a hemisphere on top) has a volume of 30,000 m^3.What are its dimensions?Thanks...?

Answer:

you don't have enough info......height? radius?
Volume = pir^2h +2/3 pi r^3 =30 000 2pi r^2(h +1/3) =30 000 You need some additional information, either the radius or the height of the cylinder. You have two unknowns, but only one equation.
YOu have two unknows here - radius of the cylinder which is also the radisu of the hemisphere and the lenght of the cylinder, but only one equation : V = 2/3*pi*r^3 + pi*r^2*l l = length of cylinder Unless you minimize area or have another constraint, you can't uniquely solve for r and l.

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