Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for
the pigs. If it costs $1.13 per cubic meter to purchase the corn, how much will it cost to fill up the whole silo?
1 answer:
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It looks like the differential equation is
Factorize the right side by grouping.
Now we can separate variables as
Integrate both sides.
You could go on to solve for explicitly as a function of
, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.
