Sash143 wrote:
A crate measures 4 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
A. 2
B. 4
C. 6
D. 8
E. 12
Answer is B
Just glancing at the dimensions of the crate makes us realise that it is a cuboid.
To fit the cylinder with largest radius inside this cuboig , we should make the base of the crate as wide as possible
so we will take the base as 12 feet by 8 feet
Now since the limiting number in the base is 8 feet; therefore a cylinder {we can visualise that a cylinder's width is its diameter } can only fit inside the crate if it is 8 feet or less.
Therefore the radius of the cylinder will become\(\frac{Diameter}{2}===> \frac{8}{2} = 4\)
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