Question

The radius op of the sector O_PRQ is 12cm and angle POQ_ 120* degree a cone is formed such that radii op and OQ coincide. Find the Volume of the cone

Answer 1

Answer:

Volume of the cone = 189.56

Step-by-step explanation:

When a portion is taken from the circle it will have a curved length of one third of the circle. This will be πd/3 in which diameter will be 24 cm.

π(24)/3 = 8π  

Side length will be 12 cm, 8 pi circumference of circular base.  

c=πd

8π=πd , d = 8 and radius will be 4 cm .

r square +(height) square =(side )square  

4^2+(height)^2=12^2  

h^2=144-16  

h^2=128  

h=8√2  

Volume =1/3bh  

V=1/3π(4)^2(8√2)  

V=189.56