8th Grade Volume of Cylinders, Cones and Spheres Test with Point Values (PDF)

8th Grade math test: Volume of Cylinders, Cones and Spheres – Maths PDF

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This volume cylinders cones spheres test for 8th Grade covers volume of cylinders, cones and spheres (Common Core 8.G.C.9), with a free PDF to print.

This 20-point test checks the volume of cylinders, cones and spheres and solving real-world volume problems (Common Core 8.G.C.9). Work alone, show every step, and write each final answer clearly. You have 45 minutes. Calculators are not needed unless a question says so.

Time and points

About this test

Grade: Grade 8
Chapter: Volume of Cylinders, Cones and Spheres
Standards: 8.G.C.9
Time: 45 minutes
Total: 20 points

Volume cylinders cones spheres test: questions

Question 1 – Cylinder [3 pts]

A cylinder.

Find the volume of the cylinder in terms of \(\pi\), and then to the nearest tenth with \(\pi \approx 3.14\).

Question 2 – Cone [3 pts]

A funnel.

A funnel is a cone. Give its volume in terms of \(\pi\).

Question 3 – Sphere [3 pts]

A sphere with diameter 10 cm.

The sphere has diameter 10 centimeters. Find its volume in terms of \(\pi\).

Question 4 – Find a dimension [3 pts]

A cylinder has volume \(200\pi\) cubic feet and height 8 feet. Find the radius.

Question 5 – Compare [2 pts]

A cone and a cylinder have the same radius and height. The cylinder has volume \(90\pi\). Find the volume of the cone and explain.

Question 6 – Combined solid [3 pts]

A toy is a cylinder of radius 3 cm and height 10 cm with a hemisphere of radius 3 cm on top. Find the total volume in terms of \(\pi\).

Question 7 – Real world [2 pts]

A round birthday cake pan has diameter 10 inches and height 2 inches. How many cubic inches of batter does it hold? Use 3.14.

Question 8 – Explain [1 pt]

Explain why doubling the radius of a sphere multiplies its volume by 8.

Key facts behind this volume cylinders cones spheres test

Key facts

Cylinder: \(V = \pi r^{2} h\).
Cone: \(V = \frac{1}{3}\pi r^{2} h\), one third of the matching cylinder.
Sphere: \(V = \frac{4}{3}\pi r^{3}\); hemisphere: \(\frac{2}{3}\pi r^{3}\).
Radius is half the diameter; cube or square the radius before multiplying.
Doubling the radius multiplies cylinder volume by 4 and sphere volume by 8.

How to use this volume cylinders cones spheres test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 8 chapters: Grade 8 math.

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