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 Post subject: DerivationPosted: Sun, 10 Apr 2011 22:34:21 UTC
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Joined: Wed, 6 Apr 2011 11:26:16 UTC
Posts: 8
A conical tank has base radius of 25mm and the height 50mm. It is filled with water till 40mm.

How much does the volume of the water increase if the level is raised by 2mm.

Please help me to solve it.[/u]

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 Post subject: Re: DerivationPosted: Sun, 10 Apr 2011 22:38:19 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12071
Location: Austin, TX
yusufgovani wrote:
A conical tank has base radius of 25mm and the height 50mm. It is filled with water till 40mm.

How much does the volume of the water increase if the level is raised by 2mm.

Please help me to solve it.[/u]

the change is the final minus the initial. Use that the volume of a cylinder is where h is the height.

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 Post subject: Re: DerivationPosted: Sun, 10 Apr 2011 22:48:17 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
Shadow wrote:
yusufgovani wrote:
A conical tank has base radius of 25mm and the height 50mm. It is filled with water till 40mm.

How much does the volume of the water increase if the level is raised by 2mm.

Please help me to solve it.[/u]

the change is the final minus the initial. Use that the volume of a cylinder is where h is the height.

The volume of a cone is given by ...

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 Post subject: Re: DerivationPosted: Sun, 10 Apr 2011 22:50:13 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12071
Location: Austin, TX
outermeasure wrote:
Shadow wrote:
yusufgovani wrote:
A conical tank has base radius of 25mm and the height 50mm. It is filled with water till 40mm.

How much does the volume of the water increase if the level is raised by 2mm.

Please help me to solve it.[/u]

the change is the final minus the initial. Use that the volume of a cylinder is where h is the height.

The volume of a cone is given by ...

cone, cylinder...they both start with c. X_X

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 Post subject: The conical tankPosted: Mon, 11 Apr 2011 12:38:44 UTC
 Math Cadet

Joined: Wed, 6 Apr 2011 11:26:16 UTC
Posts: 8
Thank you for help. I worked out the final volume minus the intial volume but I do not get the answer which is 2.5ml.

I used the formula for volume of cone 1/3 r^2 pi h. I do not unerstand where i have gone wrong.

Any tips.

Thank you

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 Post subject: Re: The conical tankPosted: Mon, 11 Apr 2011 13:16:58 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
yusufgovani wrote:
Thank you for help. I worked out the final volume minus the intial volume but I do not get the answer which is 2.5ml.

I used the formula for volume of cone 1/3 r^2 pi h. I do not unerstand where i have gone wrong.

Any tips.

Thank you

How can we pinpoint where you have gone wrong if we haven't seen what you actually did nor what answer you got?

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 Post subject: Re: The conical tankPosted: Mon, 11 Apr 2011 14:56:50 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12071
Location: Austin, TX
yusufgovani wrote:
Thank you for help. I worked out the final volume minus the intial volume but I do not get the answer which is 2.5ml.

I used the formula for volume of cone 1/3 r^2 pi h. I do not unerstand where i have gone wrong.

Any tips.

Thank you

I agree with outermeasure. Also, your eventual answer will have a in it.

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 Post subject: conical tankPosted: Thu, 14 Apr 2011 12:42:11 UTC
 Math Cadet

Joined: Wed, 6 Apr 2011 11:26:16 UTC
Posts: 8
I used : (pi/3*2.1*2.1*4.2)- (pi/3*2.0*2.0*4.0)=2.6

Radius calculation: 40/50*2.5= 2 INTIAL
42/50*2.5= 2.1 FINAL

Is this correct method?

Thanks

Yusuf

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 Post subject: Re: conical tankPosted: Thu, 14 Apr 2011 13:20:25 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6003
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
yusufgovani wrote:
I used : (pi/3*2.1*2.1*4.2)- (pi/3*2.0*2.0*4.0)=2.6

Radius calculation: 40/50*2.5= 2 INTIAL
42/50*2.5= 2.1 FINAL

Is this correct method?

Thanks

Yusuf

Method is correct, answer is not. Read Shadow's post again.

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 Post subject: Posted: Thu, 14 Apr 2011 14:34:17 UTC
 Math Cadet

Joined: Wed, 6 Apr 2011 11:26:16 UTC
Posts: 8
Thank you

Yusuf

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