This grade 8 volume cylinders cones test checks volume of cylinders, cones and spheres in 45 minutes, with 8 questions for a total of 20 points.
This test covers standard 8.G.C.9 with 8 questions worth 20 points. Students find volumes of cylinders, cones and spheres, work backward to a missing dimension, and solve real-world problems. Use a calculator only where 3.14 is given, and show all work.
- Grade: Grade 8
- Chapter: Volume of Cylinders, Cones and Spheres
- Common Core: 8.G.C.9
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 3 pts; Question 7: 3 pts; Question 8: 4 pts)
Grade 8 Volume Cylinders Cones Test: questions 1–5
Question 1: Volume of a cylinder (2 points)
Find the volume of the cylinder in terms of \(\pi\).
Question 2: Volume of a cone (2 points)
Find the volume of the cone in terms of \(\pi\).
Question 3: Volume of a sphere (2 points)
- Find the volume of the sphere in terms of \(\pi\). (1 point)
- Use 3.14 for \(\pi\) and round to the nearest tenth. (1 point)
Question 4: Missing height of a cylinder (2 points)
A cylinder has a volume of \(1{,}008\pi\text{ cm}^{3}\) and a radius of 6 cm. Find its height.
Question 5: Missing height of a cone (2 points)
A cone has a volume of \(1{,}200\pi\text{ m}^{3}\) and a radius of 10 m. Find its height.
Grade 8 Volume Cylinders Cones Test: questions 6–8
Question 6: Cone and cylinder together (3 points)
A cylinder and a cone both have a radius of 5 in and a height of 12 in.
- Find the volume of the cylinder in terms of \(\pi\). (1 point)
- Find the volume of the cone in terms of \(\pi\). (1 point)
- How many full cones of water are needed to fill the empty cylinder? (1 point)
Question 7: Planter and soil (3 points)
Maya builds a cylindrical planter with a radius of 1.5 ft and a height of 2 ft.
- Use 3.14 for \(\pi\) to find the volume of the planter. (2 points)
- Bags of soil hold 2 cubic feet each. How many bags must she buy to fill the planter? (1 point)
Question 8: Ice cream cone (4 points)
An ice cream cone has a radius of 3 in and a height of 10 in. A hemisphere of ice cream with a radius of 3 in sits on top of the cone.
- Find the volume of the cone in terms of \(\pi\). (1 point)
- Find the volume of the hemisphere in terms of \(\pi\). (1 point)
- Find the total volume in terms of \(\pi\). (1 point)
- Use 3.14 to approximate the total volume to the nearest tenth. (1 point)
How to use this grade 8 volume cylinders cones test
Take this grade 8 volume cylinders cones test without notes, then grade it with the test answer key out of 20 points.
See every chapter on the Grade 8 math page.