Question

The radii of two cylinders of the same height are in the ratio 4 : 5 , then find the ratio of their volumes.

Answer 1

Answer:

16:25

Step-by-step explanation:

Let r1 and r2 be radii of the two cylinder and v1 and v2 be their volume.

Let h be height of the two cylinder

then, v1= pie r^2 1 h  ,  v2= pie r^2 2 h

v1/v2 = pie r^2 1 h/pie r^2 2 h = r^2 1 h/r^2 2 h = 16/25

Answer 2

Given - Radii of cylinders = 4:5

Find - Ratio of volumes

Solution - Volume of cylinder is given by the formula = πr²h. In this formula, r represents radius and h represents height.

Relating the formula of volume of cylinder in ratio -

V1/V2 = (R1/R2)²

Keeping the values in formula to find the ratio of volume of cylinder-

V1/V2 = (4/5)²

Squaring the radius to find the ratio of volume of cylinder -

V1/V2 = 16/25

Thus, ratio of volume of cylinders is 16/25.