Question

3. A sphere and a cone have same radius if height of cone is equal to radius of cone
Find the relation between volume of sphere and volume of cone.​

Answer 1

Answer:

4:1

Step-by-step explanation:

Given that,

height of cone (h)    =     radius of cone (r)  

radius of cone  (r)     =    radius of sphere (r)

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

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

Ratio of Volume of sphere / Volume of cone

                                  =     $\frac{\frac{4}{3} \pi r^{3} }{\frac{1}{3}\pi r^{2}h }$

                                  =      $\frac{4}{1}$