The costume department of a theatre company is making cone-shaped hats for a play set in medieval times. Each hat will be covered with satin over its entire lateral surface area. The slant height of each hat will remain constant at 20 inches, but the radius of the base will vary to accommodate different head sizes. Using 3.14 for T, the lateral area of the hat can be expressed as a function.
write a function y for the literal area of the hat as a function of the radius of its base, x. (Hint: the formula for the lateral area of a cone is y=πxs, where s is the slant height.)​