Question

a conical solid block is exactly fitted inside the cubical box of side 'a' then the volume of conical solid block is 4/3pia^3 . is it true?justify ur answer

Answer 1

1/3*pi*r^2h
=1/3*pi*a/2*a/2*a
=a^3*pi/12

thus it is not true

Answer 2

No given statement is false.  

Step-by-step explanation:

Given : Statement 'a conical solid block is exactly fitted inside the cubical box of side 'a' then the volume of conical solid block is $\frac{4}{3}\pi a^3$'

To find : Is the statement is true ?

Solution :

The side of a cube is given by, side=a

The volume of cubical box is  $V=a^3$

Given the volume of conical solid block is $\frac{4}{3}\pi a^3$ which is greater than volume of cube.

Therefore, No given statement is not true as volume of conical block should not be greater than volume of cube if it is fitted exactly inside it.

#Learn more

A solid ball is exactly fitted inside the cubical box of side a. find the volume of a.

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