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Mathematics 17 Online
OpenStudy (anonymous):

Each cone of the hourglass has a height of 15 millimeters. The total height of the sand within the top portion of the hourglass is 45 millimeters. The radius of both cylinder and cone is 6 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass? (picture coming in a sec)

OpenStudy (anonymous):

|dw:1373140656595:dw|

OpenStudy (nurali):

option

OpenStudy (anonymous):

126 108 18 29

OpenStudy (dan815):

gimme a good picture

OpenStudy (nurali):

Calculate the volume of sand, the cone will be completely filled and the cylinder will have sand up to the 30 mm level. Volume of sand will = the volume of the cone: 1/3 * pi * (6 mm)^2 * 15 = 1/3 * pi * 36 * 15 =180 pi cubic mm the cylinder will have a volume of sand equal to: pi * (6 mm)^2 * 30 mm=pi * 36 sq mm * 30 mm=1080 pi cubic mm. The total sand is the sum: 1080 pi cubic mm +180 pi cubic mm = 1260 pi cubic mm.

OpenStudy (anonymous):

dangggg

OpenStudy (dan815):

dangg indeed lol

OpenStudy (nurali):

the sand travels at a rate of 10 pi/sec so the sane will take (1260 pi)/10 pi/sec= =126 seconds.

OpenStudy (anonymous):

IQ level?>??????

OpenStudy (dan815):

hahhaha

OpenStudy (dan815):

over 9000

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