A sphere is every point at the same distance, the radius, from one center point. Its volume is four thirds pi r cubed and its surface area is 4 pi r squared, both built on the radius alone. There is nothing to work out first, which makes these the quickest solids on the page once the formulas are in.
Select your difficulty
Pick more than one for a sheet that mixes them.
The preview can look cramped on a phone. The PDF and printed sheet come out normal.
Mixing the two formulas up. The volume has the cube and the four thirds; the surface area has the square and a plain 4. Getting them the wrong way round gives an answer with the wrong units.
Also called surface area of a sphere or hemispheres.
What you can put on this worksheet
Volume of a sphere
Find the volume of the sphere. — a sphere with radius 15→ 4500π
Surface area of a sphere
Find the surface area of the sphere. — a sphere with radius 15→ 900π
The radius from the surface area
The surface area is 900π.Find r.— a sphere with radius r, labeled r→ 15
Hemispheres
Find the volume of a hemisphere with radius 6. Leave the answer in terms of π.→ 144π
Decimal radius or diameter, to the tenth
A sphere has a radius of 13.9 ft. Find its volume to the nearest tenth.→ 11249.5
Questions about these worksheets
Yes. Every spheres sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the spheres questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 5: volume of a sphere, surface area of a sphere, the radius from the surface area, hemispheres and decimal radius or diameter, to the tenth. Tick as many as you want and set how many of each, or let it spread them evenly.
Mixing the two formulas up. The volume has the cube and the four thirds; the surface area has the square and a plain 4. Getting them the wrong way round gives an answer with the wrong units.