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To work out the total volume of the composite solid, we need the volumes of both the cone and the hemisphere. GCSE Maths students are expected to know these respective formulae; volume of a sphere = ⁴/₃πr...

First solve the equation with only one unknown to find y:y-6=15Add 6 to both sides to get the value of y:y=15+6y=21Now there is only one unknown we can solve for x:x+21=11x=11-21x=-10Check the values are ...

How you should approach source-based questions depends entirely on what you're being asked to do with the sources. Look at the question and establish what you need to do answer it. There are usually three...

Firstly, remember to factorise!
x^2+2x-15 = (x+5)(x-3)
∴ the numerator and denominator now both share a common term "(x+5)", so they can cancel one another out, leaving the answer as :...

Show 3/5 as a decimal: 0.6
0.7 + 0.6 = 1.3
OR
Show 0.7 as a fraction: 7/10
Find a common denominator: 3/5 = 6/107/10 + 6/10 = 13/10 or 1 and ...