Volume of Cylinders, Cones and Spheres: Grade 8 Math Quiz – PDF Download
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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Remember:
Standard 8.G.C.9: know and use the volume formulas for cylinders, cones and spheres to solve real-world problems.
