Question

A sphere cylinder
and cone are of some radius
and
Same height .find the reatio of there volume​

Answer 1

Height of a sphere is actually its diameter.

Let the radius of sphere be 'r'.

So its height (diameter) = 2r

Volume = $\frac{4}{3}\pi r^3$

Since cylinder has same radius and height as that of sphere,

Radius of cylinder = r

Height of cylinder = 2r

Volume = $\pi r^2h = 2\pi r^3$

Cone also has same radius and height as that of sphere

Radius of cone = r

Height of cone = 2r

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

Ratio = $\frac{4}{3} : 2 : \frac{2}{3}$

= 2 : 3 : 1