Question

the radius of two cylinders are in the ratio 2 ratio 3 and their Heights are in the ratio 5 ratio 3 what is the ratio of their volume ​

Answer 1

Step-by-step explanation:

volume of two cylinder=

$\pi \times r^{2} h \: + 2$

$2 + \frac{22}{7} \times \frac{2}{3} \times \frac{2}{3} \times \frac{5}{2} \\ \frac{24}{7} \times \frac{4}{9} \times \frac{5}{3} \\ \frac{32 \times 5}{7 \times 9} \\ \frac{160}{63}$

160:63

Answer 2

Answer:

option(3) is the answer.

Step-by-step explanation:

Step 1:

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

Step 2:

v1/v2 = (pi*r1^2*h1 )/ (pi*r2^2*h2)

v1/v2 = (r1/r2)^2 *(h1/h2)

= (2/3)^2 * (5/3)

= 20/27

Step 3:

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.