Answer:
5.95cm
Step-by-step explanation:
Given data
Area of base of cone= 120π cm^2
Volume of cone= 240π cm^3
Area of base= Area of circle
Area= πr^2
120π= πr^2
120= r^2
r= √120
r= 10.9
r= 11cm
Let us find the height of the cone
The expression for the volume of cone is given as
V= 1/3πr^2h
240π= 1/3π*11^2*h
240= 1/3*121*h
240= 40.33h
divide both sides by 40.33
h=240/40.33
h= 5.95cm
Hence the height of the cone is 5.95cm approx
