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Mathematics 7 Online
OpenStudy (anonymous):

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: Hourglass with sand measuring 45 millimeters high 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

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

the bottom cut off heres the rest of the question

OpenStudy (anonymous):

. 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?

ganeshie8 (ganeshie8):

very long word problem ! but an easy one :) read the problem and figure out below : 1) what information we're given 2) what we're asked to find out

OpenStudy (anonymous):

made up of a cone and cylinder, 45 mm high, radi of both cylinders 6 mm, and drips 10 π per second

ganeshie8 (ganeshie8):

good :) lets find the volume occupied by the sand in top container

ganeshie8 (ganeshie8):

|dw:1406097891091:dw|

ganeshie8 (ganeshie8):

the top container looks something like above ?

ganeshie8 (ganeshie8):

it is made up of below parts : 1) cone of height 15mm 2) cylinder of height 45-15 = 30mm

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

we're also given that both cone and cylinder have radius of 6mm

ganeshie8 (ganeshie8):

|dw:1406098059745:dw|

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