hey user!
your answer is here..
ATQ,
we have to find out that how many cone birthday hats can we make out of 2500 in².
so, first of all we have to find the lateral surface area of one hat.
given :-
radius of the conical hat = 5 in
slant height ( length ) of the conical hat = 11.2 in
CSA ( curved/latera surface area ) of the conical hat = πrl
= 22/7 × 5 × 11.2
= 1232/7
= 176 in²
the lateral surface area of one hat is 176 in²
therefore no. of hats can be made from 2500 in² = 2500/176 = 14.20 ( approximately )
hence, 14 hats can be made.
cheers!!