3. a machine part is manufactured from a block of iron with circular cylindrical slots. the block of iron has a width of 14 in., a height of 16 in., and a length of 20 in. the number of cylinders drilled out of the block is determined by the weight of the leftover block, which must be less than 1,000 lb.
a. if iron has a weight of roughly 491 lb/ft3, how many cylinders with the same height as the block and with radius 2 in. must be drilled out of the block in order for the remaining solid to weigh less than 1,000 lb.?
. if iron ore costs $115 per ton (1 ton=2200 lb.) and the price of each part is based solely on its weight of iron, how many parts can be purchased with $1,500? explain your answer.