Consider a hollow spherical bowl with radius r = 19 cm that is filled to he top with water. h(t) (1)n When a hole with arca 0, 14 cm² is opened at the bottom of the bowl the water flows out of the bowl. If the speed of the water flowing out of the powl at time t is u(t) = /2g [r – h(t)] %3D where r – h(t) is the height of the water level above the hole at that time, hen the time taken (rounded to the nearest second) for the height of the water level above the hole to fall from r to r/2 is equal to:

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider a hollow spherical bowl with radius r =
19 cm that is filled to
the top with water.
h(t)
u(t)
When a hole with area 0, 14 cm? is opened at the bottom of the bowl the
water flows out of the bowl. If the speed of the water flowing out of the
bowl at time t is
u(t) = /2g [r – h(t)]
where r – h(t) is the height of the water level above the hole at that time,
then the time taken (rounded to the nearest second) for the height of the
water level above the hole to fall from r to r/2 is equal to:
(a) 3 minutes and 33 seconds
(b) 8 minutes and 10 seconds
(c) 9 minutes and 1 second
(d) 4 minutes and 21 seconds
(e) 7 minutes and 5 seconds
Transcribed Image Text:Consider a hollow spherical bowl with radius r = 19 cm that is filled to the top with water. h(t) u(t) When a hole with area 0, 14 cm? is opened at the bottom of the bowl the water flows out of the bowl. If the speed of the water flowing out of the bowl at time t is u(t) = /2g [r – h(t)] where r – h(t) is the height of the water level above the hole at that time, then the time taken (rounded to the nearest second) for the height of the water level above the hole to fall from r to r/2 is equal to: (a) 3 minutes and 33 seconds (b) 8 minutes and 10 seconds (c) 9 minutes and 1 second (d) 4 minutes and 21 seconds (e) 7 minutes and 5 seconds
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