Need to calculate volume for your next math test? This...
Algebra 1132 views·Updated Jul 1, 2026·2 pagesCalculating Volumes of Common 3D Shapes
parker (he/she/they)@parkrr
1
of 2
Finding Volume of Spheres and Cones
Ever wonder how much water a ball or ice cream cone could hold? That's what volume tells us!
For spheres, use the formula 4/3(πr³). First, measure the radius (distance from center to edge). Then cube that number (multiply it by itself twice). Multiply that result by π, and finally multiply by 4/3. That's it—you've found the volume of your sphere!
For cones, use the formula 1/3⋅h⋅(πr²). Start by squaring the radius to get r². Multiply r² by π to find the area of the circular base. Then multiply the height by 1/3, and multiply that result by the base area. The final number is your cone's volume.
Remember This: For spheres, don't forget the 4/3 multiplier. Many students just calculate πr³, which gives you the wrong answer!
2
of 2
Finding Volume of Prisms and Cylinders
Finding the volume of these shapes is easier than you might think!
For rectangular prisms (like boxes), use the formula x⋅y⋅z. Simply multiply the length, width, and height together. Think of it as finding the area of the base (length × width) and then multiplying by the height.
For triangular prisms, first find the area of the triangular base using (x⋅y)÷2. Then multiply this area by the length of the prism . The formula is [(x⋅y)÷2]⋅z, giving you the total volume.
For cylinders (like cans), square the radius and multiply by π to find the circular base area. Then multiply this area by the height. The formula is (r²⋅π)⋅h, where h is the height of the cylinder.
Pro Tip: For all these shapes, you're basically finding the area of the base and then multiplying by the height. This pattern works for all prisms and cylinders!
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Algebra 1132 views·Updated Jul 1, 2026·2 pagesCalculating Volumes of Common 3D Shapes
parker (he/she/they)@parkrr
Need to calculate volume for your next math test? This guide breaks down volume formulas for common 3D shapes into simple step-by-step instructions. You'll learn exactly how to find the volume of everything from rectangular prisms to spheres.
1
of 2
Sign up to see the content. It's free!
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Finding Volume of Spheres and Cones
Ever wonder how much water a ball or ice cream cone could hold? That's what volume tells us!
For spheres, use the formula 4/3(πr³). First, measure the radius (distance from center to edge). Then cube that number (multiply it by itself twice). Multiply that result by π, and finally multiply by 4/3. That's it—you've found the volume of your sphere!
For cones, use the formula 1/3⋅h⋅(πr²). Start by squaring the radius to get r². Multiply r² by π to find the area of the circular base. Then multiply the height by 1/3, and multiply that result by the base area. The final number is your cone's volume.
Remember This: For spheres, don't forget the 4/3 multiplier. Many students just calculate πr³, which gives you the wrong answer!
2
of 2Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Finding Volume of Prisms and Cylinders
Finding the volume of these shapes is easier than you might think!
For rectangular prisms (like boxes), use the formula x⋅y⋅z. Simply multiply the length, width, and height together. Think of it as finding the area of the base (length × width) and then multiplying by the height.
For triangular prisms, first find the area of the triangular base using (x⋅y)÷2. Then multiply this area by the length of the prism . The formula is [(x⋅y)÷2]⋅z, giving you the total volume.
For cylinders (like cans), square the radius and multiply by π to find the circular base area. Then multiply this area by the height. The formula is (r²⋅π)⋅h, where h is the height of the cylinder.
Pro Tip: For all these shapes, you're basically finding the area of the base and then multiplying by the height. This pattern works for all prisms and cylinders!
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
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