Question

Q.20)THE RADII OF TWO CYLINDERS ARE
IN THE RATIO OF 4:5, AND HEIGHTS ARE
IN THE RATIO OF 5:3. THE RATIO OF
THEIR VOLUMES IS *​

Answer 1

Answer:

Ratio of their volume 16:15

Step-by-step explanation:

let radii of first cylinder be 4x

let radii of second cylinder be 5x

let the height of first cylinder be 5y

let the height of second cylinder be 3y

Ratio of their Volume -

Volume of first cylinder

Volume of 2nd cylinder

= pi(r)^2h

pi(r)^2h

= (r)^2h

(r)^2h

= (4x)^2*5y

(5x)^3*3y

= 16(x)^2*5y

25(x)^2*3y

= 80(x)^2y

75(x)^2y

= 16

15

therefore answer is 16:15