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)

![V = \frac{\pi (2)^{2}4\sqrt{2}}{3} [/tex][tex] V = \frac{\pi (4)4\sqrt{2}}{3}](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7B%5Cpi%20%282%29%5E%7B2%7D4%5Csqrt%7B2%7D%7D%7B3%7D%20%20%20%20%20%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5D%5Btex%5D%20V%20%3D%20%5Cfrac%7B%5Cpi%20%284%294%5Csqrt%7B2%7D%7D%7B3%7D%20%20%20%20%20)

so choice (1) is right answer

correct answer --------------------------------------------------------------------------------------------------

incorrect answer as correct volume answer we got as
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incorrect answer as correct volume answer we got as
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