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Summer Jobs: Volume and Capacity Checks worksheet preview

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Summer Jobs: Volume and Capacity Checks

Practice cone, cylinder, and sphere volumes through summer lawn-care and babysitting tasks, including capacity and missing dimensions.

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, Matching, Short answer

About this worksheet

What students practice

  • Students use volume formulas for cones, cylinders, and spheres.
  • Students find missing dimensions from the volume of a solid.
  • Students apply volume formulas to capacity, composite solids, and displacement problems.

How to use

Use after introducing all three volume formulas. Have students show calculations on separate paper and discuss the final explanation. A calculator is useful for questions that specify 3.14 for π.

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

Summer Jobs: Volume and Capacity Checks

Use solid geometry to plan lawn-care and babysitting tasks.

Check the Equipment

Samira and Luis mow lawns and babysit during the summer. Model each object as the solid described. Container dimensions are interior measurements. Leave answers in terms of π unless told to use 3.14.

1.
Match each solid to its volume formula. Here, r is the radius and h is the perpendicular height.
  1. Cylinder
  2. Cone
  3. Sphere
  1. A. V = (4/3)πr³
  2. B. V = πr²h
  3. C. V = (1/3)πr²h
2.
A cylindrical grass-seed container has a radius of 7 cm and a height of 18 cm. What is its volume?

V =  π cm³

3.
Luis uses a cone-shaped funnel to transfer grass seed. Its circular opening has a diameter of 10 cm, and its perpendicular height is 12 cm. What volume does the funnel hold when full?

V =  π cm³

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