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2. A water park has a giant bucket that dumps water over the top of a playground (see the images
below). The bucket is approximately the size of a 55-gallon drum with height 85.0 cm and diameter
57.0 cm. Water flows into the bucket at a rate of 1.34 L/s. When the water level reaches a height of
78.9 cm, the bucket dumps its contents.
a. How long does it take for the bucket to fill up and dump water over the playground?
b.
A mischievous kid drills holes in the bottom of the bucket so that it loses water at a rate of
0.162 L/s. How much longer does it now take for the bucket to fill up and dump water over the
playground?
(PC: Dr. Ritchey, Singapore Bird Park, 3 January 2023)
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Transcribed Image Text:2. A water park has a giant bucket that dumps water over the top of a playground (see the images below). The bucket is approximately the size of a 55-gallon drum with height 85.0 cm and diameter 57.0 cm. Water flows into the bucket at a rate of 1.34 L/s. When the water level reaches a height of 78.9 cm, the bucket dumps its contents. a. How long does it take for the bucket to fill up and dump water over the playground? b. A mischievous kid drills holes in the bottom of the bucket so that it loses water at a rate of 0.162 L/s. How much longer does it now take for the bucket to fill up and dump water over the playground? (PC: Dr. Ritchey, Singapore Bird Park, 3 January 2023)
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