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A cylinder has a circular face with a diameter of 10cm, and a body of length 30cm. Calculate the volume of the cylinder.

First recognise that the diameter is 10cm so the radius of the circle must be 5cm.

Next use the formula for the area of a circle, πr2, to work out the area of the circul...

HM
Answered by Hamza M. • Maths tutor
6348 Views

Calculate the value of both x and y using the following 2 equations: 3x - 2y = 12 (1) and x - y = 3 (2)

Process of elimination:

Multiply equation 2 by 3 to get the same coefficent in front of x:  3x - 3y = 9  (3)

Subtract eq 3 from eq 1 to get:  y = 3

HM
Answered by Hamza M. • Maths tutor
8671 Views

Solve: a) 5t + 17 = 2 b) x^3 - 25 = 103 - x^3

a) Solving for t:
We isolate our unknown t on one side, to leave the factors of t on one side and the numbers on the other:
-1st step: substract 17 from both sides --> 5t = -15
-2nd s...

LC
Answered by Luis C. • Maths tutor
3694 Views

Dave and Chris split £24 in the ratio 2:1, how much does each person get?

With ratio questions we first have to look at the ratio split that the question wants. In this case is is 2:1, first sum up the two numbers that make the ratio, 2 and 1, to get 3. Then divide the number t...

MC
Answered by Matthew C. • Maths tutor
32936 Views

If 3x+6x+3=21, find the value of x

To start, i would put all the x's on one side of the equation and the two numbers on the other side of the equation. However be careful when moving the 3 as when we move it over the equals symbol its sign...

HC
Answered by Henry C. • Maths tutor
5213 Views

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