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A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use the ...
SK
Answered by Sameerah K. • Maths tutor
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What is a derivative?

The derivative of a function f(x) is a measure of how the function f changes as its variable x changes. You have already met an example of derivatives: the gradient, m , measuring the rate of change of f(x) ...
MD
Answered by Marta D. • Maths tutor
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How would I sketch the graph sin(x) + sin(2x - π/2) in my exam?

Sketching trigonometric graphs is all about working from the graphs you already know and seeing how they behave when added/multiplied/substracted from each other to sketch more complicated functions. You wou...
TD
Answered by Tutor73146 D. • Maths tutor
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Solve 2x+3 + ((4x-1)/2) = 10

Divide everything in the brackets by 2. 2x+3 + (2x -1/2) =10 Collect like terms (collect 'x' terms and collect numbers). 2x + 2x + 3 -1/2 = 10 Simplify like terms. 4x + 2 1/2 = 10 Rearrange so 'x's are on on...
LR
Answered by Lauren R. • Maths tutor
7411 Views

Find the determinant of a 2*2 matrix.

[1 -2; -5 -4] determinant = {1 * (-4)} - {-5 * (-2)} = -4 - 10 = -14
RA
Answered by Rishabh A. • Maths tutor
4760 Views