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Mathematics 15 Online
OpenStudy (milo123):

Is this? http://prnt.sc/d1s1sl

OpenStudy (milo123):

@563blackghost @welshfella please help check this

OpenStudy (welshfella):

First work out the capacity ( volume) of water that the conical glass can hold. Formula is 1/3 * pi * r^2* h

OpenStudy (welshfella):

where r = radius of the top = 1/2 * 6 = 3 and h = 5.2

OpenStudy (welshfella):

can you do that /

OpenStudy (milo123):

49?

OpenStudy (welshfella):

use your calculator you can take pi to be 3.14 the glass on the right is a cone. so volume = (1/3) * 3.14 * 3^2 * 5.2

OpenStudy (milo123):

48.9

OpenStudy (welshfella):

yeah - 48.98 to be more exact

OpenStudy (milo123):

48.984

OpenStudy (milo123):

lol

OpenStudy (welshfella):

Ok now the total water is 100 ml so subtract 48.98 form that to get the volume of water in the other glass. The other glass is a cylinder and the formula for volume of cylinder is V = pi * r^2 * h we know that V = 100-48.98 , pi = 3.14 and we need to find the value of the height h. So plug in these values and solve for h.

OpenStudy (welshfella):

r = 1/2 * 5 = 2.5 so we have the equation 51.02 = 3.14 * 2.5^2 * h Find h and you have the answer.

OpenStudy (milo123):

lol ur too fast for me

OpenStudy (welshfella):

sorry Do you see how I got that equation?

OpenStudy (milo123):

yeah lol i was just typing it but you typed faster

OpenStudy (milo123):

i got 31.4?

OpenStudy (welshfella):

No first work out 3.14 * 2.5^2

OpenStudy (milo123):

19.625 @welshfella

OpenStudy (welshfella):

right so we have 51.02 = 19.625h To find h we divide both sides of the equation by 19.625 This, of course, gives h on the right side and value of h will be on the left:- 51.02 / 19.625

OpenStudy (milo123):

so like 51.02/19.62 ?

OpenStudy (milo123):

if that, it's 2.599

OpenStudy (welshfella):

yea

OpenStudy (welshfella):

right, which is a) 2.6 cms.

OpenStudy (milo123):

thanks!!

OpenStudy (welshfella):

yw

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