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Maths
GCSE

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).r2.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...

BG
Answered by Ben G. Maths tutor
2595 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 ).
S...

HJ
Answered by Harry J. Maths tutor
5106 Views

A cuboid has dimensions: width = x+1, length = 2x-2, height = x+2. Work out the volume of this cuboid. Give your answer in terms of x.

Volume of cuboid = width x length x heightV = (x + 1)(2x - 2)(x + 2)
For simplicity, multiply the first 2 sets of brackets first. Then multiply the result by the third set of brackets.Note: for multi...

SA
Answered by Sam A. Maths tutor
5837 Views

2017 Edexcel Summer 2017 Q18) 16^1/5 × 2^x = 8^3/4 Work out the exact value of x

As this is a calculator paper, it is acceptable to use one. The first step to calculating the exact value of x is to make it the subject of the equation (i.e. moving it to its own side)2^x = (8^3/4)/(16^1...

RP
Answered by Rory P. Maths tutor
17230 Views

What is 125^(-2/3)?

Firstly, the negative power sign flips the number the 1/125.The 1/3 part of the power means find the cubic (3rd) root. 1/5Finally the 2 of the power means square the number. 1/25 is therefore the final an...

ER
Answered by Emily R. Maths tutor
3976 Views

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