Question

A cone and a cylinder have the same radil but the height of the cone is
3 times that of the cylinder Find the ratio of their volumes​

Answer 1

Answer:

Ratio -> 1:1

Step-by-step explanation:

Let the height of cylinder be 'h'

So, the height of cone = H = 3h

Ratio of their volumes = $\frac{\pi r^{2}h }{\frac{1}{3} \pi r^{2}H }$

                                     =$\frac{\pi r^{2}h }{\frac{1}{3}\pi r^{2} 3h}$

Cancelling $\pi$, r, h and 3, we get,

                                     = $\frac{1}{1}$

                                     = 1:1