After you asked me a lot, we are now starting our spatial geometry that is included in the ENEM. In this video lesson, we will address the cylinder, especially the calculation of volume. With five solved questions and with the tips I give in this lesson, I am sure that you will be very good at the cylinder in the ENEM. This content is studied in the 2nd year of high school. Don't forget, any content that is in the notice can be included in the ENEM. Be part of the Club of 800 + ENEM Click Here: https://thyagoaraujo.com/clubedos800+... Study with me and be successful in Math. ONLINE MATHEMATICS PLATFORM: https://thyagoaraujo.com/ Solved questions from previous ENEM exams 01. (ENEM-2021) A construction materials store sells two types of water tanks: type A and type B. Both are cylindrical in shape and have the same volume, and the height of type B water tank is equal to 25% of the height of type A water tank. If R denotes the radius of type A water tank, then the radius of type B water tank is a) R/2 b) 2 R c) 4 R d) 5 R e) 16 R 02. (ENEM-2019) A construction company intends to connect a central reservoir (Rc) in the shape of a cylinder, with an internal radius equal to 2 m and an internal height equal to 3.30 m, to four auxiliary cylindrical reservoirs (R1, R2, R3 and R4), which have internal radii and internal heights measuring 1.5 m. The connections between the central reservoir and the auxiliary reservoirs are made by cylindrical pipes with an internal diameter of 0.10 m and a length of 20 m, connected close to the bases of each reservoir. At the connection of each of these pipes with the central reservoir there are valves that release or interrupt the flow of water. When the central reservoir is full and the auxiliary reservoirs are empty, the four valves open and, after some time, the heights of the water columns in the reservoirs become equal, as soon as the flow of water between them ceases, by the principle of communicating vessels. The measurement, in meters, of the heights of the water columns in the auxiliary reservoirs, after the flow of water between them ceases, is a) 1.44. b) 1.16. c) 1.10. d) 1.00. e) 0.95. 03. (ENEM-2016) In agricultural regions, it is common to have silos for storing and drying grain production, in the shape of a straight cylinder, overlapped by a cone, and dimensions indicated in the figure. The silo is full and the grains are transported in cargo trucks with a capacity of 20 m3. One region has a full silo and only one truck to transport the grains to the processing plant. Use 3 as an approximation for π. The minimum number of trips the truck will need to make to transport the entire volume of grains stored in the silo is a) 6. d) 16. c) 17. d) 18. e) 21. 04. (ENEM-2015) The rainfall index is used to measure the precipitation of rainwater, in millimeters, in a given period of time. Its calculation is made according to the level of rainwater accumulated in 1 m², that is, if the index is 10 mm, it means that the height of the water level accumulated in an open tank, in the shape of a cube with a base area of ​​1 m², is 10 mm. In one region, after a heavy storm, it was found that the amount of rain accumulated in a cylindrical can, with a radius of 300 mm and a height of 1200 mm, was one third of its capacity. Use 3.0 as an approximation for π. The rainfall index of the region, during the storm period, in millimeters, is a) 10.8. b) 12.0. c) 32.4. d) 108.0. e) 324.0. 05. (ENEM-2015) In order to solve the water supply problem, it was decided, at a condominium meeting, to build a new cistern. The current cistern is cylindrical, 3 m high and 2 m in diameter, and it is estimated that the new cistern should hold 81 m3 of water, maintaining the cylindrical shape and height of the current one. After the inauguration of the new cistern, the old one will be deactivated. Use 3.0 as an approximation for π. How much should the radius of the cistern increase, in meters, to achieve the desired volume? a) 0.5 b) 1.0 c) 2.0 d) 3.5 e) 8.0 --- Follow us on social media: ► PLATFORM (Website): https://thyagoaraujo.com/cursos/ ► Instagram: / escoladenumeros ► Instagram: / professorthyagoaraujo ► Twitter: / escoladenumeros CONTACT EMAIL: [email protected] Here on the channel you will find several free video classes in Mathematics, Chemistry, Physics and Biology for elementary and high school. SUBSCRIBE TO THE CHANNEL HERE: https://www.youtube.com/c/EscoladeNum... QUESTION LISTS: https://thyagoaraujo.com/listas-de-qu... CREATED BY MASTER PROFESSOR IN MATHEMATICS THYAGO ARAUJO FERREIRA #ENEM2022 #Mathematics #PaesUema2022