This grade 8 volume cylinders cones quiz asks 10 multiple-choice questions on volume of cylinders, cones and spheres, and each answer comes with a short explanation.
This 10-question quiz checks the volume formulas for cylinders, cones and spheres from standard 8.G.C.9. Questions include radius and diameter, missing dimensions, and real-world problems. Each wrong answer matches a common mistake, so read the explanation after every question.
Grade 8Common Core: 8.G.C.9
🎯 Volume of Cylinders, Cones and Spheres – Grade 8 math quiz
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Question 1
What is the volume of the cylinder?Cylinder, radius 2 cm, height 5 cm.
A\(20\pi\text{ cm}^{3}\)
B\(10\pi\text{ cm}^{3}\)
C\(80\pi\text{ cm}^{3}\)
D\(100\pi\text{ cm}^{3}\)
Question 2
What is the volume of the cone?Cone, radius 3 in, height 4 in.
A\(36\pi\text{ in}^{3}\)
B\(4\pi\text{ in}^{3}\)
C\(48\pi\text{ in}^{3}\)
D\(12\pi\text{ in}^{3}\)
Question 3
What is the volume of the sphere?Sphere, radius 6 cm.
A\(48\pi\text{ cm}^{3}\)
B\(288\pi\text{ cm}^{3}\)
C\(216\pi\text{ cm}^{3}\)
D\(2,304\pi\text{ cm}^{3}\)
Question 4
A cone and a cylinder have the same radius and the same height. The volume of the cone is what fraction of the volume of the cylinder?
A\(\frac{1}{2}\)
B\(\frac{2}{3}\)
C\(\frac{1}{3}\)
D\(\frac{3}{4}\)
Question 5
What is the volume of the cylinder?Cylinder, diameter 10 ft, height 3 ft.
A\(75\pi\text{ ft}^{3}\)
B\(30\pi\text{ ft}^{3}\)
C\(300\pi\text{ ft}^{3}\)
D\(150\pi\text{ ft}^{3}\)
Question 6
A cylinder has a volume of \(180\pi\text{ cm}^{3}\) and a radius of 6 cm. What is its height?
A\(30\text{ cm}\)
B\(2.5\text{ cm}\)
C\(15\text{ cm}\)
D\(5\text{ cm}\)
Question 7
A cone has a volume of \(15\pi\text{ in}^{3}\) and a radius of 3 in. What is its height?Cone with radius 3 in; the height is unknown.
A\(15\text{ in}\)
B\(45\text{ in}\)
C\(\frac{5}{3}\text{ in}\)
D\(5\text{ in}\)
Question 8
Use 3.14 for \(\pi\). What is the volume of the sphere, rounded to the nearest hundredth?Sphere, radius 2 m.
A\(16.75\text{ m}^{3}\)
B\(33.49\text{ m}^{3}\)
C\(100.48\text{ m}^{3}\)
D\(50.24\text{ m}^{3}\)
Question 9
A water bottle is a cylinder with a radius of 4 cm and a height of 20 cm. Use 3.14 for \(\pi\). About how many cubic centimeters of water does it hold?
A\(251.2\)
B\(4{,}019.2\)
C\(1{,}004.8\)
D\(334.9\)
Question 10
A paper cone cup holds \(24\pi\text{ in}^{3}\). A cylinder has the same radius and height as the cone. What is the volume of the cylinder?A cone and a cylinder with matching dimensions.
A\(8\pi\text{ in}^{3}\)
B\(72\pi\text{ in}^{3}\)
C\(48\pi\text{ in}^{3}\)
D\(96\pi\text{ in}^{3}\)
🎉 Quiz complete!
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How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
Standard 8.G.C.9: know and use the volume formulas for cylinders, cones and spheres to solve real-world problems.
