Question

how to find the ratio of the volume of a cylinder ,cone and a sphere if each has a same diameter and same height

Answer 1

volume =diameter *height

Answer 2

Consider the radius of each to be r

Height of sphere is equal to its diameter
So the height of sphere is 2r

According to questions height of each is same

So the height of each of them is 2r

Now the ratio of volumes of

Cylinder : cone : sphere

pi*r^2h : 1/3pi*r^2h :4/3 pi r^3
pi *r^2 is cancelled now

We get
h : 1/3h : 4/3 r

We know h = 2r
Thus we get
2r : 1/3×2r : 4/3 ×rnow 2r is cancelled
We get

1 :1/3 :2/3

OR
3 :1 :2