Question

The ratio of the height of two cylinder of equal volume is 3 :2.what is the ratio of their diameter

Answer 1

Answer:

Step-by-step explanation:volume of cylinder is is V = pi. R sq. H where R is radius and H is height

let height is H1 and R1 are height and radius of cylinder 1

so vol.=pi R1 sq. H1 and same way vol. second cylinder i s pi R2sq. H2

but pi R1sq. H1 =pi R2sq. H2…………………………..as vol. of both is same

R1sq. H1 = R2sq. H2………………………….pi is same

H1 / H2 = R2sq. /R1sq. =4 /5

so ratio is 4 :5

Answer 2

Answer:

The ratio of the diameters of the cylinders = 3 : 2

The ratio of the radius of the cylinders will be = 3 : 2

Therefore, let the radii of the two cylinder be 3x and 2x respectively.

Let the height of the cylinder be h1 and h2.

Now, Volume of first cylinder = Volume of the second cylinder

i.e. π(3x)²h1 = π(2x)²h2

h1/h2 = (π*4x²)/(π*9x²)

h1/h2 = 4/9

h1 : h2 = 4 :9

So, ratio of their heights is 4 : 9