Meatballs: Volumes of Spheres and Cylinders

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

7, 8

Overview

Use your problem-solving skills to find out if the pot will overflow when Dan adds meatballs to his pasta sauce. This interactive exercise focuses on using the volume equations for cylinders and spheres to figure out the multistep problem of how many meatballs it would take to fill the space left in the pot.

Be sure to view the activity, Meatballs: Volumes of Spheres and Cylinders - Activity (found under Support Materials for Teachers), to use with the video.

Mathematics (2019) Grade(s): 8

MA19.8.30

Use formulas to calculate the volumes of three-dimensional figures (cylinders, cones, and spheres) to solve real-world problems.

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.
Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.41

Use formulas to calculate the volumes of three-dimensional figures to solve real-world problems. [Grade 8, 30]

UP:MA19.7A.41

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.

CR Resource Type

Learning Activity

Resource Provider

PBS

License Type

PD
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