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A cylinder has dimensions: diameter = 4x+2 and height = 4. Work out the volume of this cylinder. Give your answer in terms of x

The volume of a cylinder = (pi).r 2 .hAs the diameter is given in the question, we need to halve it to get the radius --> r = (4x+2)/2 = 2x+1This means the volume of the cylinder = (pi).(2x+1) 2 .4 First ...
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Answered by Ben G. • Maths tutor
3397 Views

How do I rationalise the denominator of √2+1]/√2-1?

We must choose something to multiply the numerator and denominator of the fraction by the same thing, and the best thing to choose is the difference of two squares (since (x^2-y)(x^2+y)=x^2-y^2 ). So we do (...
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Answered by Harry J. • Maths tutor
6451 Views

Kinetic theory describes the movement of particles in three states of matter. If a cube of ice is put in a tin with a tight fitting lid and continuously heated, why does the lid explode off?

Before heating: Ice and air present in the tin, the ice particles vibrate about fixed positions, they do not exert a pressure on the lid at this time, air particles inside the tin hit the lid but exert the s...
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Answered by Tom M. • Physics tutor
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What is a mole?

A mole is a measure of quantity, such that when you have a mole of something, you have 6.02 x 10 23 atoms/molecules of it. The number of atoms/molecules in a mole is called "Avogadro's Number" and ...
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Answered by Amy F. • Chemistry tutor
3107 Views

In a fish and chips shop, the potatoes are cut hours before they are cooked, but they must not dry out. To stop this, the owner soaks them in a salt solution. Define the process of osmosis and explain what would happen if you used distilled water.

Osmosis can be described as the movement of water from a high concentration to a low concentration through a semi permeable membrane.In this example the salt solution has roughly the same concentration of wa...
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Answered by Vikram S. • Biology tutor
7728 Views