This grade 8 volume cylinders cones worksheet gives 23 problems on volume of cylinders, cones and spheres, ordered from easy to hard, with a separate answer key.
These 23 problems practice standard 8.G.C.9: finding the volume of cylinders, cones and spheres from a radius or a diameter, working backward to a missing dimension, and solving real-world problems. They go from one-step formula substitution to multi-step word problems.
Give each answer in cubic units, in terms of \(\pi\) or with 3.14 as directed.
Grade 8 Volume Cylinders Cones Worksheet: problems 1–5
Problem 1: Cylinder with radius and height
Find the volume of the cylinder. Leave the answer in terms of \(\pi\).
Problem 2: Cylinder using 3.14
A cylinder has a radius of 5 in and a height of 4 in. Use 3.14 for \(\pi\) to find its volume.
Problem 3: Cylinder from the diameter
A cylinder has a diameter of 12 ft and a height of 7 ft. Find its volume in terms of \(\pi\).
Problem 4: Cone with radius and height
Find the volume of the cone in terms of \(\pi\).
Problem 5: Cone using 3.14
A cone has a radius of 6 cm and a height of 9 cm. Use 3.14 for \(\pi\) to find its volume.
Grade 8 Volume Cylinders Cones Worksheet: problems 6–10
Problem 6: Cone from the diameter
A cone has a diameter of 10 m and a height of 12 m. Find its volume in terms of \(\pi\).
Problem 7: Sphere with a given radius
Find the volume of the sphere in terms of \(\pi\).
Problem 8: Sphere using 3.14
A sphere has a radius of 6 in. Use 3.14 for \(\pi\) to find its volume.
Problem 9: Sphere from the diameter
A sphere has a diameter of 10 ft. Find its volume in terms of \(\pi\), and then round to the nearest hundredth using 3.14.
Problem 10: Find the height of a cylinder
A cylinder has a volume of \(150\pi\text{ cm}^{3}\) and a radius of 5 cm. Find its height.
Grade 8 Volume Cylinders Cones Worksheet: problems 11–15
Problem 11: Find the radius of a cylinder
A cylinder has a volume of \(245\pi\text{ in}^{3}\) and a height of 5 in. Find its radius.
Problem 12: Find the height of a cone
A cone has a volume of \(96\pi\text{ ft}^{3}\) and a radius of 6 ft. Find its height.
Problem 13: Find the radius of a sphere
A sphere has a volume of \(288\pi\text{ cm}^{3}\). Find its radius.
Problem 14: Cylinder versus cone
A cylinder and a cone both have a radius of 4 cm and a height of 9 cm. Find the volume of each in terms of \(\pi\), and tell how the two volumes compare.
Problem 15: Volume of a hemisphere
A hemisphere is half of a sphere. A hemisphere-shaped dome has a radius of 9 m. Find its volume in terms of \(\pi\).
Grade 8 Volume Cylinders Cones Worksheet: problems 16–20
Problem 16: Soup can
A soup can has a diameter of 3 in and a height of 4 in. Use 3.14 for \(\pi\) to find how much soup the can holds.
Problem 17: Water storage tank
A cylindrical water tank has a radius of 4 ft and a height of 10 ft. (a) Use 3.14 for \(\pi\) to find its volume. (b) A pump fills the tank at 40 cubic feet per minute. About how many minutes does it take to fill the empty tank? Round to the nearest tenth.
Problem 18: Pile of sand
A pile of sand is shaped like a cone with a radius of 6 ft and a height of 5 ft. (a) Find the volume in terms of \(\pi\). (b) Use 3.14 to approximate it. (c) A dump truck carries 20 cubic feet of sand per load. How many loads are needed to move the whole pile?
Problem 19: Ice cream cone with a scoop
An ice cream cone has a radius of 1 in and a height of 4 in. A hemisphere-shaped scoop with the same radius sits on top. Find the total volume of ice cream and cone in terms of \(\pi\), and then with 3.14.
Problem 20: Basketball
A basketball has a diameter of 9 in. Use 3.14 for \(\pi\) to find the volume of air it holds, rounded to the nearest hundredth.
Grade 8 Volume Cylinders Cones Worksheet: problems 21–23
Problem 21: Tennis ball can
A can has a radius of 1.5 in and a height of 9 in, and holds 3 tennis balls, each with a radius of 1.5 in. Find the empty space in the can, in terms of \(\pi\) and then to the nearest tenth with 3.14.
Problem 22: Filling paper cups
A cylindrical jug has a radius of 3 in and a height of 8 in. Paper cups are cones with a radius of 2 in and a height of 3 in. How many full cups can be filled from a full jug?
Problem 23: Reshaping a ball of clay
Priya rolls a ball of clay with a radius of 3 cm, then flattens it into a cylinder with a radius of 3 cm without losing any clay. How tall is the cylinder?
How to use this grade 8 volume cylinders cones worksheet
Print this grade 8 volume cylinders cones worksheet as a PDF, solve every problem on paper, then compare with the answer key.
See every chapter on the Grade 8 math page.
