Find the missing measure for a right circular cone given the following information. find v if r = 2 and l. a. = 12. (16/3)√2 16√2 4√(38)

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 --------------------------------------------------------------------------------------------------------

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