Question

the radii of two cylinders of the same height are in the ratio 4:5, then find the ratio of their volumes​

Answer 1

Answer:

let the height of the cylinder be h and the radii be 4x and 5x  respectively

volume of cylinder = $\pi r^{2}h$

ratio of volume 1 and volume 2=$\frac{\pi * 4^{2} *h}{\pi * 5^{2}* h }$

here pi and h are cancelled

ratio of volumes=$\frac{16}{25}$

                          =16:25