Question

The radius and height of a cylinder is 3:4 and its volume 38,808 cm2 find its radius and height

Answer 1

Step-by-step explanation:

Let radius and height be 3x and 4x respectively

volume =πr²h

(22/7)×9x²×4x=38808

x³=343

x=7

hence radius =3x=21

height=4x=28

Answer 2

Answer:

The radius is 21cm and the height is 28cm.

Step-by-step explanation:

The given ratio of radius and height = 3: 4

Thus, let the radius be 3x and the height be 4x

We know, the volume of cylinder = pi r^2h

Thus, pi r^2h = 38808

Therefore, 22/7 * ( 3x)^2 * 4x = 38808

Therefore, x^3 = 38808*7 /22 * 36

Thus, x = 7cm

Now substituting in the the values of radius and height, we get,

Radius = 7*3 = 21cm.

Height = 7*4 = 28cm

HOPE THIS HELPS YOU...