The circular base of a cone has an area of 120π square centimeters. If the volume of the cone is 240π cubic centimeter

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

answer: t=3

step-by-step explanation:

step-by-step explanation: