Question

The radii of two cylinders are in the ratio of 1:2 and height are in the ratio of 2 : 5 .The ratio of their volume will be ?
A=1:10
B=1:18
C=1:5
D=2:9

Answer 1

Answer:

A)1:10

Step-by-step explanation:

as volume of cylinder is directly proportional to square of radius and height so 1:4×2:5=2:20

so 1:10.....(in simplest form

Answer 2

Given :-

Radius of two cylinder are in ratio 1:2 and height in ratio 2:5

To Find :-

Ratio of volume

Solution :-

As we know that

Let the volume of first cylinder be V and second cylinder's volume be V'

Let us assume the Radius be 1x and 2x and height be 2x and 5x

V/V' = π × x² × 2x/π × 2x² × 5x

V/V' = x² × 2x/2x² × 5x

V/V' = 2x²/2x² × 5x

V/V' = 1:5

Final Answer :-

Hence , The correct answer is OptionC.