Gcse maths question help please
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Gcse maths question help please

[From: ] [author: ] [Date: 11-05-30] [Hit: ]
Help would be much appreciated!Thanks-You already got the answer!Volume of cylinder is area of base x height.Volume of cone is one third area of base x height.So in this case height of cone is 3 times height of cylinder.h = 6x-You should get 2x =(1/3) h so that h = 6x.......
Basically I don't know how to work this out! My exam is in a week and a day so I want to make sure I can work this kind of q out.


[A cylinder has a base radius x cm and height 2x cm

A cone has a base radius x cm and height h cm

The volume of the cylinder and the volume of the cone are equal

Find h in terms of x
Give your answer in its simplest form.]

Help would be much appreciated!
Thanks

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You already got the answer!

2x= 1/3 h

Send the 3 over

3* 2x= 1h

H=6x

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Other answers are correct but to make method more clear
Volume of cylinder is area of base x height.
Volume of cone is one third area of base x height.
So in this case height of cone is 3 times height of cylinder.

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π r² * 2x = 1/3 π r² * h
2x = h/3
h = 6x

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You should get 2x =(1/3) h so that h = 6x.
1
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