Question

A cone of base radius 20 cm is divided into two parts
by drawing a plane through the mid point of its
Axis parallel to its base. Find the ratio of the volume
of the two parts.​

Answer 1

Let height of large cone =h

So,height of small cone is 2h

➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡

ΔABC∼ΔAFG

=>

➡FG

➡CD

➡= AF

➡Ac= 21

➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡

(given)

Let radius equal to r

Then,radius of small cone= 2r

Volume of large cone= 31 r

2 h

Volume of large cone== 31

So, the volume of fustum BDGE = Volume of larger cone - Volume of small cone

=

➡=1:7

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