Volume of cone is given by formula
-------------------------------------------(1)
We are already given r =2, so we need to find h and then we can find volume
So missing meausre is height here ------------------------------------------------------------------------------
To find h we will use lateral area = given
Formula for lateral area of cone is
so we have
Now plug r as 2 in this equation
Now solve for h as shown and get h by itself
----------------------------------------------------(2)
Now plug 2 in r place and in h place in volume formula given in (1)
so choice (1) is right answer
correct answer --------------------------------------------------------------------------------------------------
incorrect answer as correct volume answer we got as --------------------------------------------------------------------------------------------------
incorrect answer as correct volume answer we got as --------------------------------------------------------------------------------------------------------