Calculating Volume of 3D Shapes
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Objective
I can calculate the volume of cylinders, cones, and spheres using formulas and solve for missing measurements when given the volume.
Part 1 of 4
Warm-up video
Joshua Zonker · 8:29
We don't generate video — this one is by Joshua Zonker on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The volume of a cylinder is found using the formula πr²h, where r is the radius and h is the height.
- 2
The volume of a cone is ⅓ the volume of a cylinder with the same radius and height, using the formula V = ⅓πr²h.
- 3
The formula to find the volume of a sphere is V = 4/3πr³, where r represents the radius of the sphere.
Part 3 of 4
Practice
8 questions
What is the formula for the volume of a cylinder?
A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Leave your answer in terms of π)
Part 4 of 4
Exit ticket
Quick comprehension check
“A sphere has a volume of 36π cubic inches. What is the radius of the sphere?”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
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