15. Find the amount of water displaced by solid spherical ball of radius 14cm.
Answers
Answer:
see tha adjoining attachment...;)
The amount of water displaced by solid spherical ball of radius 14cm is approximately 11498.67 cm³ of water.
Given : Radius of the spherical ball = 14cm
To find : The amount of water displaced by the spherical ball.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the amount of displaced water by the solid spherical ball)
According to the Archimedes principle the amount of water displaced will be equal to the volume of the solid spherical ball.
So, we have to the volume of the solid spherical ball.
Now, we know that :
Volume of a sphere = (4/3) × π × (radius)³
By, putting the given value, we get :
Volume of the spherical ball = (4/3) × π × (14)³
or,
Volume of the spherical ball = (4/3) × (22/7) × (14)³
or,
Volume of the spherical ball = 11498.67 cm³ (approx)
So, the spherical ball will displace = 11498.67 cm³ water
(This will be considered as the final result.)
Hence, the spherical ball will displace approximately 11498.67 cm³ of water.