MA19.8.30
Use formulas to calculate the volumes of three-dimensional figures (cylinders, cones, and spheres) to solve real-world problems.
Use formulas to calculate the volumes of three-dimensional figures (cylinders, cones, and spheres) to solve real-world problems.
Unpacked Content
UP:MA19.8.30
Vocabulary
- Radius
- Pi
- Volume
- Cylinder
- Cone
- Sphere
Knowledge
Students know:
- The volume formulas for cylinders, cones, and spheres.
- That 3.14 is an approximation of pi commonly used in these volume formulas.
- That composite three dimensional objects in the real-world can be created by combining cylinders, cones, and spheres in part or whole.
Skills
Students are able to:
- Calculate the volume of cones, cylinders, and spheres given in real-world contexts. often times approximating solutions to a specified decimal place.
- Identify the components of a composite figure as being portions of or whole cylinders, cones, and spheres.
- Combine the results of calculations to find volume for real-world composite figures.
Understanding
Students understand that:
- the application of volume formulas and the relationship between these three formulas can be used in combinations when determining solutions involving real-world cylinders, cones, and spheres.
