Two cylinders have equal volume.Their heights are in the ratio 1:2.Find ratio of their radii? (9 std maths)
1 Answer
Solve for one height value equaling a multiple of the other, then substitute it into the formula for a cylinder's volume and use algebra to obtain
Explanation:
We have that the formula for a cylinder's volume is
Where
Where
or
both of which we can use, if we were to consider the ratio between their volumes being equal:
We could multiply the volume of the second cylinder to both sides to get
Now, let's see, what can we do? We can substitute
It seems that
Let's divide by
And take the square root:
We have just solved for the ratio between the radii,