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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 r 2 h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and using the formu...
AC
Answered by Alice C. • Maths tutor
7148 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 equation 1 and equation 2 are the same and this is also the same for when ...
SB
Answered by Shireen B. • Maths tutor
5545 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 divide...
MT
Answered by Matthew T. • Maths tutor
5192 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 to get: 12x 2 + 31x ...
EI
Answered by Elsie I. • Maths tutor
5772 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 child...
MB
Answered by Mukilan B. • Maths tutor
3162 Views