Question

Find the ratio between the volumes of two cylindrical drums which have (i) same base but heights in the ratio 2 :3 (ii) same height but radii in the ratio 2 : 3.

Answer 1

Hello users........

Given that
Two cylinders of equal volume heights in the ratio of 1:9

solution:-
we know that
volume of a cylinder = πr²h

here
let 1st cylinder having radius = x
and 2nd having radius = y

also given that
heights of cylinders are in the ratio of 1:9

=> 1st cylinder having height = 1h
and 2nd = 9h

now

both cylinders having equal volumes
=> πx²h = πy²×9h
=> x² = 9y² = (3y)²
=> x= 3y

hence
radii of cylinders are in ratio of 1:3 answer

⭐✡ hope it helps ⭐✡
3.5
4 votes

THANKS
13
Comments (6) Report

Could you check once the ans is 3:1 or 1:3

it is not given in the statement of question that first or 2nd cylinder having greater height

if 1st cylinder having greater height than radii are in ratio in

3:1

if 2nd having greater height than ratio =1:3

hope you understand
Log in to add a comment

ShivamSinghamRajput Genius

Solutions :-

Given :
Two cylinders of equal volume heights in the ratio of 1 : 9

Let the radius of one cylinder be R
Radius of other cylinder be r

Let the height of one cylinder be h
Height of other cylinder be 9h


We know that,
Volume of cylinder = πr²h cu. unit

Now,

πR²h = πr²9h
=> R² = r²9
=> R² = 9r²
=> R² = (3r)²
=> R = 3r


Hence,
The ratio of radii = 1 : 3

_______________________

✯ @shivamsinghamrajput ✯
0.0
0 votes

THANKS
10
Comments Report


The BrainHelper
Not sure about the answer?
SEE NEXT ANSWERS


Read more on Brainly.in - https://brainly.in/question/1651907#readmore

Answer 2

Answer:

2:3&4:9 I hope u get it.