Question

a cylinder, a cone and a hemisphere are of same base and have same height. the ratio of their volume is ​

Answer 1

Answer:1 : 1/3 : 2/3

Step-by-step explanation:

Answer 2

Answer:

3 : 1 : 2

Step-by-step explanation:

since, hemisphere has same height as it's base radius ...

therefore, all the shapes are of r (radius) height.

so,  volume of cylinder  $v_1 = \pi r^2*r = \pi r^{3}$

      volume of cone,  $v_2 = \frac{\pi r^{2}*r}{3} = \frac{1}{3} \pi r^{3}$

      volume of hemisphere,  $v_3 = \frac{2}{3} \pi r^{3}$

now, required ratio --> $v_1 : v_2 : v_3$

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

                                    = $1 : \frac{1}{3} : \frac{2}{3}$

                                    = $3 : 1 : 2$