Question

Ratio of volumes of two cones with same radius:

Answer 1

Will be same but the height should also be same


Otherwise it will change

Answer 2

The ratio of volumes of two cones with same radius = H : h

Step-by-step explanation:

Let the radius of first cone = the radius of second cone = r

The height of first cone = H and the height of second cone = h

To find, the ratio of volumes of two cones with same radius = ?

∴ The volume of first cone = $\dfrac{1}{3} \pi r^2 H$

The volume of second cone = $\dfrac{1}{3} \pi r^2 h$

∴ The ratio of volumes of two cones with same radius

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

= $\dfrac{H}{h}$

= H : h

The ratio of volumes of two cones with same radius = H : h