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Cylinder A has the volume 8π cm^3 and the height 2 cm. Cylinder B is a similar shape with a volume of 216 cm^3. i) find the linear scale factor. ii) find the surface area of cylinder B

i) Linear scale factor cubed = volume scale factor = V B /V A = 216π/8π = 27 LSF 3 =27 LSF = 3 ii) SA B = 2πr B 2 + 2πr B H B Find H and r for B H B = LSF*H A = 6 cm V B = πr B 2 H B = 216π = πr B 2 6 => ...
JK
Answered by Jacob K. • Maths tutor
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The function f is defined as f(x) = e^(x-4). Find the inverse of f and state its domain.

Firstly, we let y=f(x) so that y=e x-4 . The aim of this question is to find the inverse of y=f(x), and in order to do that, we must rearrange the question so that x becomes the subject of the equation, whic...
RK
Answered by Rutwik K. • Maths tutor
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Edexcel November 2016 1H Maths. Q27

The sphere has radius 6 cm. The solid cylinder has a base radius of 3cm and a height of h cm. The total surface area of the cylinder is twice the total surface area of the sphere. Work out the ratio of the v...
JV
Answered by Josh V. • Maths tutor
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Solve x^2 + 10x - 3 = 0

completing the square (x+5) 2 -25 -3 =0 (x+5) 2 -28 = 0 (x+5) 2 = 28 x= ±2√7 -5
IH
Answered by Isabelle H. • Maths tutor
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How do you factorize a quadratic equation with all positive numbers?

The easiest way to approach this is by trying to find two numbers which add up to the x coefficient (the number attached before the x) and multiply to the constant (the number on its own). For example...x 2 ...
CB
Answered by Charlotte B. • Maths tutor
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