Question

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20 points !!

CLASS IX Maths

Q. A cube and a sphere are of same height. Find the ratio of their volumes.

HURRY !!!!!!

Answer 1

21:44 is the ratio of their volumes

Answer 2

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GIVEN ;-

⇒ Sphere and cube = same height 



TO FIND ;-

⇒ Ratio of their volumes = ?


SOLUTION ;-

In the question it is given that the height of the sphere and cube are same - so this mean that their side of the cube will be also equal to the diametre of the sphere,


                        ⇒ a = d


So to find out the answer for this sum , we need to use the given formula to find out their ratio - that is -


                    ⇒ Volume of sphere        :        Volume of  cube

                    ⇒ (4/3) × π × r³              :           a³

                    ⇒ (4/3)× π× r                 :          (2r)³

                    ⇒ (4/3) × π × r³              :          8 × r³
   
                    ⇒ (4 /3) × (22/7)             :            8

                   ⇒ (88 /21 )                      :             8
               
                   ⇒ (11/21)                        :             1

                   ⇒     11                          :             21


So the answer is 11 : 21



$\huge\orange{INSHAALLAH it will help you!}$

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