Question

A spherical cake of radius 21cm is cut into 4 equal pieces .what is the volume of each piece? ​

Answer 1

9702 cm^3 is the required answer.

Answer 2

Answer:

Volume of Each piece of cake = 9702 $cm^3$

Step-by-step explanation:

Given: radius of spherical cake, r = 21 cm

           Cake cut into 4 equal pieces.

To find: Volume of each pieces.

First we find Volume of Cake,

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

                               = $\frac{4}{3}\times\frac{22}{7}\times 21^3$

                               = $\frac{4}{3}\times\frac{22}{7}\times 21\times21\times21$

                               = $4\times22\times 21\times21$

                               = $38808\:\: cm^3$

So, Volume of Each piece of cake = $\frac{38808}{4}$

                                                         =  9702 $cm^3$

 

Therefore, Volume of Each piece of cake = 9702 $cm^3$