The radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3. Calculate the

Richa Saini   8 years AGO

Ratio of radii r1:r2 = 2:3
ratio of heights h1:h2 = 5:3
Ratio of volume v1:v2=pi *r1^2*h1 : pi*r2^2*h2

v1/v2 = (pi*r1^2*h1 )/ (pi*r2^2*h2)
v1/v2 = (r1/r2)^2 *(h1/h2)
= (2/3)^2 * (5/3)
= 20/27

Ratio of curved surface=2*pi*r1*h1 : 2*pi*r2*h2
=(r1*h1)/(r2*h2)
=( r1/r2)* (h1/h2)
=(2/3)*(5/3)
= 10/9
Therefore option(3) is the answer.

Like? Yes (86) | No (43)  

Mukund Manohar   8 years AGO

Ratio of Volume={(22/7)*2*2*5}/{(22/7)*3*3*3}=20/27
Ratio of their Curved Surfaces
={2*(22/7)*2*5}/{2*(22/7)*3*3} = 10/9
Answers are 20:27 and 10:9

Like? Yes (43) | No (18)  

Siddharth Jain   8 years AGO

Volume of cylinder = 3.14 * r^2 * h
Ratio will be = r1^2*h1 : r2^2 * h2
= 2^2 * 5 : 3^2 * 3
= 20:27 ANS.

Curved Surface area of cylinder = 2 * 3.14 * r * h
So ratio of curved surface area will be = r1 * h1 : r2 * h2
= 2 * 5 : 3 *3
= 10 : 9 ANS.

Like? Yes (38) | No (16)  

sugayathri   8 years AGO

volume of cylinder = 22/7r^2h

22/7*2*2*5)/22/7*3*3*3 =20/27
curved surface=2*22/7rh=10/9

Like? Yes (26) | No (10)  

Shagun Chaudhary   8 years AGO

(π*2*2*5):(π*3*3*3)
20-27



2*π*2*(5+2):2*π*3*(3+3)
4*π*7:6*π*6
28π:36π
7:9

20:27 and 7:9
option 3

Like? Yes (22) | No (10)  

Jaikumar Bhatia   8 years AGO

Ratio of radii=r1:r2=2:3,
Ratio of height=h1:h2=5:3,
Then,
Ratio of Volumes
V1:V2=(r1^2*h1)/r2^2*h2)
=(2^2*5)/(3^2*3)
=20/27
=20:27.....................................(i)
Ratio of curved surface areas=
A1:A2
=(r1h1)/r2h2)
=2*5/3*3
=10/9
10:9............................................(ii)
Ans is 20:27 and 10:9
Option is (3)

Like? Yes (17) | No (8)  

ABHINAV PUSHPAM   8 years AGO

Ratio of volumes=> 4*5/9*3= 20:27
Ratio of curved surface area => 2*5/3*3= 10:9
Option 3)

Like? Yes (12) | No (7)  

abhishek kumar sahu   8 years AGO

suppose the radii of both cylindr are 2 and 3, and heights are 5 and 3 respectively. now put the values in the formula for volume(pir^2h) and for area(2pirh) thats it.

Like? Yes (12) | No (7)  

Sayantan Samaddar   8 years AGO

Let the radii of both the cylinders be 2r and 3r respectively and their heights be 3r and 3h.

Now, Ratio of their volumes = (pi*sqr(2r)*5h)/(pi*sqr(3r)*3h)=20/27 i.e., 20:27
Ratio of their ured surfa e = 2pi*2r*5h/2pi*3r*3h=10/9=10:9

Like? Yes (10) | No (7)  

Meghana Ramya   8 years AGO

Volume of a cylinder=πr^2h
C.s.a of a cylinder=2πrh
Sub r and h values
Ans is volume =20:27
C.s.a=10:9

Like? Yes (11) | No (9)  

Vasuthaarini   8 years AGO

let the radius of the cylinders r:R= 2x:3x and height h:H=5x:3x
volume of cylinder=pi*r*r*h
so by substituting the values in the formula we get ans volume=20:27
csa= 2*pi*r*h and by substituting the value we get csa=10:9
so option 3 is correct

Like? Yes (7) | No (5)  

jothi   8 years AGO

volume= 2*22/7*r^2*h & surface area=2*22/7*r*h
ratio of volume = (2^2*5)/(3^2*3)=20/27
ratio of curved surf=(2*5)/(3*3)=10/9

Like? Yes (5) | No (4)  

Murthy   8 years AGO

given radius of two cylinders r1 = 2, r2 = 3,
given heights of two cylinders h1 = 5, h2 = 3
so volume of cylinder is pi*r^2*h so by calculating
their volume ratio is 20:27
area is 2*pi*r*h so it 10:9...so answer is 3

Like? Yes (5) | No (4)  

sanjeet kumar   8 years AGO

Since, Volume of cylinder varies with r^2*h.
Therefore ratio of volume would be 20:27.
And since only one option is equals this so no need of calculating the surface area

Like? Yes (8) | No (7)  

Vaishnavi P Agarkathe   8 years AGO

curved surface area of cylinder=(2*3.14*2x*5Y)/(2*3.14*3x*3y)=10:9
volume of cylinder=3.14*r*r*h=20:27
hence ans =20:27 and 10:9

Like? Yes (6) | No (5)  

Arvind kumar   8 years AGO

ratio of their volume=(4/3*pi*r1^2*h1) / (4/3*pi*r2^2*h2)...a
ratio of their curved surface=(pi*r1*h1) / (pi*r2*h2).........b
by putting r1=2r and r2=3r
also by putting h1=5h and h2=3h in both eqn a and b
we get ratio of their volume=20:27
and ratio of their curved surface=10:9

Like? Yes (4) | No (3)  

REVATHI   8 years AGO

formula for cylinder volume is pi*r2*h and curved surface=2*pi*r*h.

Like? Yes (5) | No (4)  

S.MANJULA   8 years AGO

radii=2:3
ht=5:3
volume=pi*r1*r1*h1:pi*r2*r2*h2
=pi*2*2*5:pi*3*3*3
=20:27
surface area=pi*r1*h1:pi*r2*h2
=2*5:3*3
=10:9

Like? Yes (5) | No (4)  

Maneesh Gupta   8 years AGO

(π*2*2*5):(π*3*3*3)
20:27

2*π*2*(2+5):2*π*3*(3+3)
7:9

option 3

Like? Yes (12) | No (12)  

Gaurab Kumar Jha   8 years AGO

let the ratios be x
so the volume ratio will be 2^2 * 5 : 3^2 * 3 = 20:27
and the ratio of curve surfaces are 2*5 : 3*3 = 10:9
i,e option 3

Like? Yes (5) | No (5)  

Richa Jain   8 years AGO

Ratio of volume=
[Pi*(r1)^2*h1] /[Pi*(r2)^2*h2] = 20/27
Ratio of curved surface =
2pi*r1*h1/2pi*r2*h2 = 10/9

Like? Yes (5) | No (5)  

Harshit Sharma   8 years AGO

volume of cylinder is pi r^2 h. so their ratio result in option 3

Like? Yes (4) | No (4)  

Saleel Kulkarni   8 years AGO

The volume of cylinder is 2*pi*r^2*h and curved surface area is 2*r*h. Then taking its ratio we get 20:27 and 10:9
Option 3

Like? Yes (4) | No (4)  

Shivling Nagnath Bhange   8 years AGO

valume of cylendre formula=pi*r*r*h

there fore ratio of theirvalume= pi*r*r*h/pi*R*R*H

=pi*2*2*5/pi*3*3

= 4*5/3*3*3

=20/27

curve surface of cyl=2*pi*r*h

= 2*pi*2*5/2*pi*3*3

=10/9

Like? Yes (5) | No (5)  

Jamil Ahmed   8 years AGO

Ratio between the volumes of the two cylinders = 2^2*5 : 3^2*3 = 20 : 27

Ratio between the curved surfaces of the two cylinders = 2*2*5 : 2*3*3 = 20 : 18 = 10 : 9

Like? Yes (4) | No (4)  

Akshat Sood   8 years AGO

let radius be x
and heights be y
?4x^25y:?9x^3y
20:27(ratio of volumes)

similarly
ratio of surface areas 10:9

Like? Yes (4) | No (4)  

sachin sawant   8 years AGO

V=pi*r^2h
Thus pi*(2r)^2*5h/pi*(3r)^2*3h=20/27
Curved surface area=2*pi*r*h
Thus,2*pi*2r*5h/2*pi*3r*3h=10/9
And option 3

Like? Yes (4) | No (4)  

Sathya   8 years AGO

vol of cylinder=pi*r2*h
and also curved surface area=2*pi*r*h
so v1/v2=4*5/9*3
= 20/27
so v1:v2=20:27
similarly c1/c2=2*5/3*3
=10/9
so c1:c2=10:9
so op 3 is correct

Like? Yes (5) | No (5)  

Ajithkumar   8 years AGO

Radii ratio r:R=2:3
Let r=2x R=3x
Heights ratio h:H=5:3
Let h=5x H=3x
CSA of 1 st Cylinder=2πrh
2π*2x*5x=20πx^2
2 nd = 2πRH
=18πx^2
Ratio = 20/18=10:9
Volumes 1st = πr^2h
=π20x^2
Volume 2 nd= πR^2H
=π27x^2
Ratio = 20/27

Like? Yes (4) | No (4)  

Devendra Marghade   8 years AGO

If radii are 2x ,3x and heights being 5y ,3y respectively, then
Ratio of Volumes=[Pi*(2x)^2*5y]/[Pi*(3x)^2*3y]=20/27
Ratio of curved surface areas=(2*Pi*2x*5y)/(2*Pi*3x*3y)=10/9
Option 3)

Like? Yes (4) | No (5)  

ayushi   8 years AGO

cylinder's volume=pi*r^2h
v1=pi*4*5
v2=pi*9*3
v1/v2=20/27

curvd surface=2*pi*r*h
s1=2*pi*2*5
s2=2*pi*3*3
s1/s2=10/9

Like? Yes (4) | No (5)  

Rajeev teja   8 years AGO

Volume=4 ×pi× r×r×h
Curved surface area= 2×pi×r×h
Ratio of v=(r1×r1×h1)÷(r2×r2×h2)
Ratio of csa= (r1×h1)÷(r2×h2)

Like? Yes (4) | No (5)  

sivaswamy cheduluri   8 years AGO

Given data r1/r2=2/3 & h1/h2=5/3
volume of cylinder = pi r^2 h
curved surface area=2pi r h
ratio of volume=20/27
ratio of curved surface=10/9

Like? Yes (5) | No (6)  

Dinesh kumar sah   8 years AGO

simply applied formula for volume ie v=?r^2h and curved surface area in is a=2?rh and got the above answer...

Like? Yes (3) | No (4)  

dev   8 years AGO

as Volume of Cylinder = pi*r*r*h
so V1 : V2 = (3.14*2*2*5) : (3.14*3*3*3) == 20 : 27

Like? Yes (3) | No (4)  

kavya   8 years AGO

Volume of cylinder is πr1^2h1/πr2^2h2.curved surface area is2πr1h1/2πr2h2.

Like? Yes (3) | No (4)  

GS MANISHA   8 years AGO

volume of cylinder is ?r*rh
and the curved surface 2?rh.so the option will be 3.

Like? Yes (4) | No (5)  

prateekshukla   8 years AGO

1. R^2×h=R^2×h
(2X)^2×5X= (3X)^2x3X
20X^3= 27X^3
20:27

2.
RxH=R×H
2×X5×=3×X3×
10x^2=9x^2
10:9

Like? Yes (3) | No (4)  

AYAN PAUL   8 years AGO

The reason is by using the formula pi*r*r*h and pi*r*r we can get the two answers.

Like? Yes (3) | No (4)  

Aakriti sharma   8 years AGO

first i took radii in form of 2r and 3 r and then for heights in the form of h ,threafter with the formula of volume and c.s.a of cylinder

Like? Yes (3) | No (4)  

harsh dhir   8 years AGO

Volume of Cylinder=pi*r^2*h
ratio=r1^2*h1/r2^2*h2=(4*5)/(9*3)=20/27
Curved surface area of cylinder=2*pi*r*h
ratio=2*5/3*3=10/9

Like? Yes (3) | No (5)  

GOURANGA SUNDAR MANDAL   8 years AGO

the volume of the cylinder is pi*raddi^2*height
let the radii is 2x and 3x...and height is 5y and 3y..
so the ratio of volume is pi*4x^2*5y:Pi*9x^2*3y..
=20:27
and the curved surface of the cylinder is 2*pi*radii*height
so the ratio is 2*pi*2x*5y:2*pi*3y*3x
=10:9
so option 5 is correct answer

Like? Yes (2) | No (4)  

Vivek Ratan   8 years AGO

on calculating the ratio is 20:27 and 10:9 respectively for Volume and CSA.

Like? Yes (4) | No (6)  

MADHUBABU   8 years AGO

volume of cylinder = (3.14*r^(2)*h)
ratio of volume of two cylinders =(r1/r2)^2 *(h1/h2)=(4/9 * 5/3) =
20/27
curved surface area of cylinder = 2*3.14*r*l
ratio of curved surface areas of two cylinders =(r1h1/r2h2) = (2*5/3*3) = 10/9

Like? Yes (2) | No (4)  

Abhineet kumar   8 years AGO

volume of cylinder is ?r^2h
area is 2?rh
so by puting value we will get option 3 as answer

Like? Yes (3) | No (5)  

keerthy   8 years AGO

square of radius and height are directly proportional to volume

Like? Yes (3) | No (5)  

Sowjanya a v   8 years AGO

Volume of cylinder is πr^2 h.ratio of volume of the 2 cylinders is r1^2*h1÷r2^2*h2=20/27
Curved surface area of cylinder is 2*π*r*h. Ratio of the curved surface of the 2 cylinders is r1*h1÷r2*h2=10/9

Like? Yes (3) | No (5)  

Dhaneshri Maniar   8 years AGO

r1:r2=2:3 & h1:h2=5:3
let r1=2r, r2=3r, h1=5h, h2=3h
v1/v2=(pi)(r1)(r1)(h1)/(pi)(r2)(r2)(h2)=(2r)(2r)(5h)/(3r)(3r)(3h)=20/27
CSA1/CSA2=2(pi)(r1)(h1)/2(pi)(r2)(h2)=(2r)(5h)/(3r)(3h)=10/9

Like? Yes (2) | No (4)  

JENSI KARUNYA.S   8 years AGO

vol of cylinder=22/7*r*r*h
4*5:9*3
20:27

Like? Yes (2) | No (5)  

Dharika   8 years AGO

radius r in ratio 2x and 3x so r1=2x and r2=3x and heights are in ratio 5x nd 3x..h1=5x h2=3x.

Like? Yes (2) | No (5)  

Priya jhunjhunwala   8 years AGO

given, r1/r2=2/3 so r1=(2/3)r2 similarly h1=(5/3)h2
we know,vol of cylinder is given by pi*r^2*h so ratio would be
(pi*r1^2*h1)/(pi*r2^2*h2) by putting the values we can get the result
we know curved surface area is given by 2*pi*r*h
likewise we can get the result

Like? Yes (2) | No (5)  

Siva   8 years AGO

volume of cylinder v is directly proportionanl to product of square of the radius and height of the cylinder, so V1:V2=((2/3)^2)*(5/3)= 20/27, rest of the problem need not to solve 3rd option only gives this ratio. curved surface is directly proportional to product of radius and height of cylinder so A1:A2 =(2/3)*(5/3)= 10/9.

Like? Yes (2) | No (7)  

Divyani gupta   8 years AGO

v1/v2
ratio of volume of both cylinder will be calculated
v=pie (r)sq h
curved surface= 2pie rl

Like? Yes (2) | No (10)