24 ft 24 ft 48 24 24 48 vertical cross-section Here, R indicates a circle of rad

Question

24 ft 24 ft 48 24 24 48 vertical cross-section Here, R indicates a circle of radius 12 feet and all of the indicated circle centers lie along the common horizontal line 12 feet above and parallel to the ditch bottom. Assume that water is flowing into the ditch so that the level above the bottom is rising 4 inches per minute. (a) When will the ditch be completely full? hr (b) Find a multipart function that models the vertical cross-section of the ditch. X S 48 48 SX S 36 36 S X 24 24 SX S 24 24 s x S 36 36 SEX S 48 48 SX

Explanation / Answer

Ans(a):

given that radius =12 feet

total height to rise = 12+12= 24 feet= 24*12 inch

water level rises 4 inch per minute

then time taken to reach height 24*12 inch will be =24*12/2 min

=144 min

= 144/60 hours

=2.4 hours.

Hence ditch will be completely full in 2.4 hours.

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