Problem 41 Soap kettles used in the commercial manufacture of soap are as a rule large cylindrical vats, 50,000 lb. or more of soap being made in a single beating. Find the capacity of such a kettle having an inside diameter of 18 ft and an altitude of 30 ft. if soap weighs 70 lb. per cu. ft.
Solution 41
$V = 2430\pi ~ \text{ft.}^3$
Capacity by weight of soap $W = \gamma V = 70(2430\pi)$
$W = 534\,384.91 ~ \text{lb.}$ answer
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