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Geometry 20 Online
OpenStudy (anonymous):

You are gonna help me, yep. An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder. 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?

OpenStudy (anonymous):

OpenStudy (anonymous):

Let me thing for a sec

OpenStudy (anonymous):

alrighty

OpenStudy (anonymous):

First you have to find the combined volumes of 1 of the cylinders and one of the cones Because the two are connected right

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

so do you know how to find the volume of a cylinder

OpenStudy (anonymous):

yes, im working on it right now.

OpenStudy (anonymous):

cool

OpenStudy (anonymous):

What measurement would i use for the height of cylinder in this problem?

OpenStudy (anonymous):

they give you the height of the cone and the height of the whole thing

OpenStudy (anonymous):

alright, i think i've got it, thanks!

OpenStudy (anonymous):

so what is it

OpenStudy (anonymous):

what is the volume of the cylinder

OpenStudy (anonymous):

1080(pi), and 178.2(pi) for the cone, then the final answer i got was approximately 126.

OpenStudy (anonymous):

Lets keep it in terms of pi

OpenStudy (anonymous):

Sorry you had it in terms of pi but you got the area of the cone wrong

OpenStudy (anonymous):

http://0.tqn.com/d/math/1/0/t/L/conerr.jpg

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