Georgia 8.GSR.8.4
The Standard
Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve in relevant problems.
Georgia's K-12 Mathematics Standards · Solve contextual, geometric problems involving the Pythagorean Theorem and the volume of geometric figures to explain real phenomena.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify the solid, radius, and perpendicular height given in a diagram or situation. They select the correct formula, substitute values, calculate volume, and report the answer in cubic units.
What Mastery Looks Like
- Students can read a diagram or context, choose the correct measurements, and calculate accurately. They keep answers in terms of pi or round as directed, label cubic units, and check whether the result is reasonable.
Common Misconceptions
- Students may use the diameter as the radius or use a cone’s slant height instead of its perpendicular height. They may forget the one-third factor for cones, round too early, or label volume with square units.
How to Assess It
- Exit ticket: A cylinder and cone each have radius 3 cm and height 8 cm, and a sphere has radius 3 cm. Find each volume in terms of pi and identify the greatest.
Lesson moves
Ways to Teach It
Fill a cone with rice and pour it into a matching cylinder, then count how many cone fills complete the cylinder.
Ask students to explain why a cone and cylinder with equal bases and heights do not hold equal amounts.
Use matching cards with solid diagrams, measurements, formulas, and volume expressions, requiring teams to explain every match.
Measure a soup can, ice cream cone, and ball, then calculate and compare their approximate capacities.
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Printable 8.GSR.8.4 Worksheet
A ready-to-print activity worksheet aligned to 8.GSR.8.4, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.GSR.5
Solve relevant problems involving area, surface area, and volume.
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Solve realistic problems involving surface area of right prisms and cylinders.
- 7.GSR.5
Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms compose...
- 7.GSR.5.8
Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.
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