Volume of Cylinders Cones Spheres Test – Grade 8 Math (Printable PDF)

Question 1 Cylinder volume (2 points)

A cylinder has base radius 7 ft and height 9 ft. Calculate its volume as an exact value with π.

Question 2 Cone volume (2 points)

A cone has base radius 9 m and height 10 m. Calculate its volume as an exact value with π.

Question 3 Sphere volume (3 points)

A sphere has diameter 15 cm.

1. Find its radius. (1 point)
2. Calculate its volume as an exact value with π. (1 point)
3. Calculate its volume taking π as 3.14. (1 point)

Question 4 Water bottle (3 points)

A cylindrical water bottle is shown.

1. Calculate its volume as an exact value with π. (1 point)
2. Calculate its volume taking π as 3.14. (1 point)
3. Knowing that 1 cm³ equals 1 mL, how many full 250 mL cups can be filled from a full bottle? (1 point)

Question 5 Missing height (3 points)

A cone has a volume of 75π in³ and radius 5 in.

1. Find the height of the cone. (2 points)
2. A cylinder has the same radius and height. Find its volume. (1 point)

Question 6 Composite solid (3 points)

A solid is a cylinder with a cone on top. The cylinder has radius 3 in. and height 8 in. The cone has the same radius and height 4 in.

1. Calculate how much the cylinder holds. (1 point)
2. Calculate how much the cone holds. (1 point)
3. Add up the total volume taking π as 3.14. (1 point)

Question 7 Sphere and cylinder (2 points)

A solid ball has radius 6 in. A cylinder has the same radius and height 12 in.

1. Find the volume of each as an exact value with π. (1 point)
2. What fraction of the cylinder’s volume is the sphere’s volume? (1 point)

Question 8 Gravel pile (2 points)

A conical pile of gravel has diameter 10 ft and height 6 ft. Take π to be 3.14 and find its volume.