1. The surface area of a cylinder can be modelled with the equation A = 2r + 2rh where A represents the area, r represents the radius of the circular base, and h is the distance between the circles (generally referred to as the height of the cylinder). A picture is included for your reference. You can estimate with a value of 3.14. Determine the Surface area if the cylinder has a radius of 6 cm and a height of 8 cm. Show your substitution as part of your solution for full marks. [3 marks] 2. A lighthouse sits at the top of a cliff. The top of the lighthouse is 80 m above the water. A sailor on a boat estimates that the ship is 100 m from the base of the cliff. Draw a well-labelled diagram of the situation. Determine the angle that the sailor looks up at to the lighthouse at. Round answer to the nearest tenth of a metre. [3 marks] 3. The promotion manager of a new brand is deciding how much to charge for concert tickets. It was calculated that if tickets are $20 each, then 240 people will come to the concert. For every $2 increase in price, however, 15 fewer people come. Similarly, for every $2 decrease in the price you could expect 15 more people come. Complete the table to investigate the ticket price if the goal is to maximize the revenue. Ticket Price Number of People Total Money from Tickets (Revenue) $18 255 $20 240 20 x 240 = $4800 $22 235 a) Complete the table above. b) What is the maximum revenue the event can earn. 4. Determine the length of the indicated side of the triangles below. a) b) C 62 X 75 A B 24 cm 13 m X 72 18 m [3 marks] [2 marks] [3 marks each = 6 marks]