Equation: Surface area is numerically equal to volume
The problem is as follows:
The total surface area of a cylinder is numerically the same as its volume.
The radius of the cylinder is rcm, the height is hcm.
Express h in terms of r.
The answer is h = 2r / (r – 2)
Surface area of cylinder = hπ2r (π is the symbol for pi)
Volume of cylinder = hπr^2
If the volume and area are numerically the same then I assume
hπ2r = hπr^2
By dividing both sides by π
h2r = hr^2
At this point I am stuck (assuming the previous steps are correct). Can anyone help?
Thanks in advance