1.

A cone of radius 4 cm is divided into two parts by drawing a plane through the mid point of itsaxis and parallel to its base. Compare the volumes of the two parts.​

Answer»

Step-by-step explanation:

The radius of UPPER cone (R

1

)=

2

4

=2

Bottom radius =4 cm

Volume of upper cone (V

1

)=

3

1

πr

2

h

=

3

1

π×(2)

2

×(

2

h

)

Volume of upper cone(V

1

)=

3

2πh

cm

3

Vol of bottom frustum (V

2

)=

3

πh

(R

1

2

+R

2

2

+R

1

R

2

)

=

3

π(

2

h

)

(4+16+8)

=

3

π(

2

h

)

(28)

Vol of bottom frustum (V

2

)=

6

πh

(28)

V

2

V

1

=

6

πh

(28)

3

2πh

V

2

V

1

=

3

2πh

×

πh×28

6

V

2

V

1

=

7

1


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