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Weekend Bike Repair: Volume Ledger worksheet preview

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Weekend Bike Repair: Volume Ledger

Apply cylinder, cone, and sphere volume formulas to bike-repair supplies, bearings, hollow grips, and business decisions.

Grade 8MathInteractive · Printable

Aligned to8.G.C.9

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students use cylinder, cone, and sphere volume formulas with radii and diameters.
  • Students find missing dimensions and solve volume problems involving costs, transfers, and hollow parts.
  • Students explain how to calculate unoccupied space around solid objects.

How to use

Use after teaching the three volume formulas. Have students show calculations on separate paper and compare exact answers before using decimal approximations.

Curriculum

Common Core standard covered

8.G.C.9

Know the volume formulas for cones, cylinders, and spheres and use them to solve problems.

Preview

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Name Date

Weekend Bike Repair: Volume Ledger

Use volumes to check supplies, replacement parts, and repair costs.

Measure Parts and Supplies

Maya and Jordan run a weekend bike-repair business. Use ideal cylinders, cones, and spheres for their measurements. Keep π exact unless a question gives another direction. For a cone, height means perpendicular height.

1.
A cylindrical grease cartridge has an inside diameter of 4 cm and an inside length of 7 cm. Which expression gives its full capacity in cubic centimeters?
  • A. (1/3) × π × 2² × 7
  • B. π × 2² × 7
  • C. π × 4² × 7
  • D. π × 2 × 7
2.
One replacement ball bearing is a solid sphere with radius 2 mm. Find its volume. Write the coefficient as a fraction or mixed number.

Volume =  π mm³

3.
The empty space inside a grease nozzle is modeled by a cone with radius 1.5 cm and height 4 cm. How much grease fills this space?

Capacity =  π cm³

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