Surface area of cylinder = 2πrh(top circular surface area not included) = 2π(r)(2r) = 4πr²imagine the top circular surface area of the cylinder moves to the circular surface of the hemisphere. surface area of hemisphere = 2πr² + πr2 = 2π(3r)² + π(3r)² = 18πr² + 9πr² = 27πr² total surface area = 4πr² + 27πr² = 31πr²

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.

#7. m is the midpoint of pq, the diameter of the circle o is 13in. and rm = 4in. find pm find pq