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Maths
GCSE

A cylinder has radius 2cm and height 9cm. A cone has radius r cm and height h cm. The ratio r : h is 1 : 4. The volume of the cone is equal to the volume of the cylinder. Work out the value of r.

Firstly, we will find the volume of the cylinder using the formula V_cylinder =π r2h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and usi...

AC
Answered by Alice C. Maths tutor
6349 Views

Solve the simultaneous equations, 2x-3y=14 and 3x+4y=4

When asked to solve we have to find the value of x and the value of y, as they are simultaneous equations we know the value of y in equa...

SB
Answered by Shireen B. Maths tutor
4358 Views

solve the simultaneous equation: 3x+y=7, 2x+4y=8

First, we need to remove one of the variables from one of the equations. In this case, we multiply the first equation by 4 to give 12x+4y=28.Then minus the 2nd equation from this to give 10x+0y=20.Now div...

MT
Answered by Matthew T. Maths tutor
4521 Views

Solve x for (x)/(4x-1) = (6x+5)/(12x+31)

First, we must cross multiply to remove the fractions, to do this, we multiply each numerator by the opposite denominator: (x)(12x+31) = (6x+5)(4x-1). Then, we multiply out the brackets t...

EI
Answered by Elsie I. Maths tutor
4956 Views

'There are two adults and two children in the Adams family. They buy an all-day travel ticket for each person. The price is £8 for each adult and £5 for each child. They also buy 4 ice-creams at £1.95 each. How much do they spend in total?'

So the Adams family consists of 2 adults and 2 children. We know that all-day ticket for an adult is £8. Therefore the price for 2 adults would be:£8 x2 = £16. We also know that an all-day ticket for a ch...

MB
Answered by Mukilan B. Maths tutor
2688 Views

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