Grade 8 Math quiz: Volume of cones, cylinders and spheres

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What this quiz should check

Topic: Volume of cones, cylinders and spheres in real-world and math problems (8.G.C.9). A good grade 8 quiz on this asks students to:

• Use V = πr²h to find the volume of a cylinder
• Use V = (1/3)πr²h to find the volume of a cone and explain why it is one third of a matching cylinder
• Use V = (4/3)πr³ to find the volume of a sphere
• Solve real-world problems, such as how much a tank, cone cup or ball holds, and work backward from a volume to a missing radius or height

Misconceptions worth a question

• Using the diameter as the radius
• Squaring the radius in a sphere problem instead of cubing it
• Forgetting the 1/3 for a cone, or labeling volume in square units

Teacher tip: Tell the AI to give some measurements as diameters and at least one problem that works backward from a volume, so students who plug numbers in without reading are caught.

Always check the AI's answer key before you give the quiz to students.

Teach it first

Plan the lesson on the same standard: objective, practice, differentiation and an exit ticket.

Grade 8 Volume of cones, cylinders and spheres lesson plan prompt →