What is the formula for calculating the volume of a cylinder? At which grade is this formula taught in Vietnam?

What is the formula for calculating the volume of a cylinder?

The current formula for calculating the volume of a cylinder is as follows:

*Note: Information is for reference only./.

What is the formula for calculating the volume of a cylinder? At which grade is this formula taught in Vietnam?​ (Image from the Internet)

At what grade in Vietnam is the formula for calculating the volume of a cylinder taught?

According to Section V Appendix Mathematics Curriculum of General Education Program issued together with Circular 32/2018/TT-BGDDT:

A cylinder is one of the geometric shapes that students are introduced to and become familiar within the grade 5 mathematics syllabus.

Furthermore, the formula for calculating the volume of a cylinder is one of the contents students will learn when they reach grade 9. (**Section V Appendix Mathematics Curriculum of General Education Program issued together with Circular 32/2018/TT-BGDDT).

Specifically, in the Visual Geometry section, the lesson on Cylinders, Cones, and Spheres will cover contents such as:

- Describing (generatrix, height, base radius) and constructing a cylinder.

- Describing (apex, generatrix, height, base radius) and constructing a cone.

- Describing (center, radius) and constructing a sphere, surface of the sphere. Recognizing the intersections of a plane and the sphere.

- Calculating the lateral surface area of a cylinder, cone, and the surface area of a sphere.

- Calculating the volume of a cylinder, cone, and sphere.

- Solving some practical problems related to calculating the lateral surface area and volume of cylinders, cones, and spheres (e.g., calculating the volume or lateral surface area of some familiar objects shaped like cylinders, cones, spheres, etc.).

Thus, the formula for calculating the volume of a cylinder is taught in the grade 9 syllabus.

What are the objectives required for grade 12 Mathematics in Vietnam?

According to sub-section 3 Section III Mathematics Curriculum of General Education Program issued together with Circular 32/2018/TT-BGDDT, the assessment of grade 12 Mathematics will adhere to the following guidelines:

The high school mathematics education aims to help students achieve the following primary objectives:

- Contribute to the formation and development of mathematical competence with the following required capabilities:

+ Pose and answer questions when reasoning, solving problems; use argumentation, induction and deduction methods to understand different methods in problem-solving; establish mathematical models to describe situations, thus proposing solutions to the mathematical problems posed in the established models;

+ Execute and present solutions to problems and evaluate the performed solutions, reflect the value of the solutions, generalize for similar problems;

+ Utilize mathematical tools and means in learning, discovery, and solving mathematical problems.

- Possess basic, essential mathematical knowledge and skills about:

+ Algebra and some analytic elements: Calculation and using calculation tools; using algebraic language and notations; transforming algebraic and transcendental expressions (trigonometric, exponential, logarithmic), equations, systems of equations, inequalities; recognizing basic elementary functions (power, trigonometric, exponential, logarithmic); examining functions and drawing function graphs using differential tools; using function language, function graphs to describe and analyze some processes and phenomena in the real world; using integrals to calculate the area of flat shapes and the volume of three-dimensional objects in space.

+ Geometry and Measurement: Provide knowledge and skills (at the level of logical reasoning) about geometric relationships and familiar flat and three-dimensional shapes; algebraic methods (vectors, coordinates) in geometry; developing spatial imagination; solving some simple practical problems related to Geometry and Measurement.

+ Statistics and Probability: Improve the ability to collect, categorize, display, analyze, and process statistical data; use tools to analyze statistical data through characteristic measures of central tendency and measures of dispersion for grouped and ungrouped data; use statistical laws in practice; recognize random models, basic concepts of probability, and the significance of probability in practice.

- Help students have a relatively general understanding of careers associated with Mathematics and its value; provide a foundation for career orientation after high school; have a minimum capacity to self-learn about mathematical issues throughout life.