Question

on the same base and of same height, a cone ,a hemisphere and a cylinder are formed. find the ratio of their volumes​

Answer 1

Answer:

Step-by-step explanation:

Volume of cone = (1/3)πr2h

Volume of hemisphere = (2/3)πr3 

Volume of cylinder = πr2h

Given :-the cone, hemisphere and cylinder have equal base and same height

 so, the height will become radius [r]

then,

Volume of cone : Volume of hemisphere : Volume of cylinder  

 =(1/3)πr²h :  (2/3)πr³ : πr²h

= (1/3)πr³ :  (2/3)πr³ : πr³

= (1/3) : (2/3) : 1

= 1: 2: 3