Question

the radii of two cylinder are in the ratio 2 is to 3 and their Heights are in the ratio of 5 is to 3 find the ratio of their volumes also calculate the ratio of their curved surfaces​

Answer 1

Step-by-step explanation:

Ratio of radii=$\frac{2}{3}$

Ratio heights=$\frac{5}{3}$

Ratio of volumes=$\frac{\pi r^{2} h}{\pi R^{2} H}$

                           =$\frac{4*5}{9*3}$

                          =$\frac{45}{27}$

Ratio of curved surface area=$\frac{2\pi rh}{2\pi RH }$

                                              =$\frac{2*5}{3*3}$

                                              =$\frac{10}{9}$

Answer 2

Answer:

radius of first cylinder = 2x

height of first cylinder = 5y

volume of first cylinder = π*4x²*5y

radius of second cylinder = 3x

height of second cylinder = 3y

volume of second cylinder = π*9x²*3y

ratio = π*4x²*5y*/π*9x²*3y = 20/27 = 20:27

CSA of first cylinder = 2*π*2x*5y+2*π*2x*2x

CSA of second cylinder = 2*π*3x*3y+2*π*3x*3x

ratio = 2*π*2x*5y+2*π*2x*2x/2*π*3x*3y+2*π*3x*3x

= 10+4/9+9 = 14/18 = 7:9