How to Find the Volume of a Sphere

Hemisphere Formulas in terms of radius r: Volume of a hemisphere: V = (2/3) ? r 3. Circumference of the base of a hemisphere: C = 2 ? r. Curved surface area of a hemisphere (1 side, external only): A = 2 ? r 2. Calculate the base surface area of a hemisphere (a circle): B = ? r 2. Total surface. volume V. surface area S. excluding B. base area B. \(\normalsize Partial\ sphere\\. (1)\ radius\ of\ bottom:\ c=\sqrt{h(2r-h)}\\. (2)\ volume:\hspace{50px} V={\large\frac{\pi}{6}}h(3c^2+h^2)\\. (3)\ surface\ area:\hspace{10px} S=\pi(c^2+h^2)=2\pi rh\\.

Use this calculator to easily calculate the volume of a sphere, given its radius in any metric: mm, cm, meters, km, inches, feet, yards, miles, etc. Visual on the figure below:. So the result from our volume of a sphere calculator is in cubic inches, cubic feet, cubic yards, cubic miles, or in the metric system: cubic cm, cubic meters, etc. Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large.

Knowing that the diameter is the largest internal measurement you can take should help. To adjust for a half-sphere calculation, just divide the result by two. Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take how to relieve a bad back amounts of pressure or force from each direction.

Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. Alternatively, if the radius is given, multiply it by two to get the diameter or directly use the second equation provided above instead. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.

Calculators Converters Randomizers Articles Search. Volume of a Sphere Calculator Use this calculator to easily calculate the volume of a sphere, given its radius in any metric: mm, cm, meters, km, inches, feet, yards, miles, etc.

Sphere radius. Calculation results Sphere volume Share calculator:. Embed this tool! How to calculate the volume of a sphere?

Volume of a Sphere – Formula

You need to follow these steps:1) Divide the diameter by 2, toget the radius. 2) Use this radius in the standard formula for the volume of asphere. 3) Divide this result by 2, to get half a sphere. Solution: Volume = 2 x x 5 3 3. = 2 x x 3. = 3. Volume = in?. Hemisphere calculator uses radius length of a hemisphere, and calculates the surface area and volume of the hemisphere. Hemisphere calculator is an online . Volume of a sphere formula. The volume of a sphere is 4/3 x ? x (diameter / 2)3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it .

Last Updated: April 8, References. To create this article, people, some anonymous, worked to edit and improve it over time. This article has been viewed 2,, times. Learn more A sphere is a perfectly round geometrical object that is three dimensional, with every point on its surface equidistant from its center. If you don't have the radius, you can find it by dividing the diameter by 2.

Once you have the radius, plug it into the formula and solve to find the volume. For more tips, including examples you can use for practice, read on! Did this summary help you? Yes No. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue. No account yet? Create an account. Edit this Article.

We use cookies to make wikiHow great. By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article Steps. Tips and Warnings. Things You'll Need. Related Articles. Article Summary. Write down the equation for calculating the volume of a sphere. In this equation, "V" represents volume and "r" represents the radius of the sphere. Find the radius. If you're given the radius, then you can move on to the next step.

If you're given the diameter, then you can just divide it by two to get the radius. Let's say the radius we're working with is 1 inch 2. Cube the radius.

To cube the radius, simply multiply it by itself thrice, or raise it to the third power. For example, 1 inch 3 is really just 1 inch 2. The result of 1 inch 3 is really just 1, since 1 multiplied by itself any number of times will be 1. You'll reintroduce the unit of measurement, inches, when you state your final answer. This is the last step to finding the volume of a sphere.

Don't forget to state your units of measurement and to state the result in cubic units. The volume of a sphere with the radius of 1 is 4. How do I calculate the volume of a sphere if neither the radius nor the diameter is given? If you know the surface area, solve the area formula for the radius, and use that to find the volume.

Without the radius, you can't determine the volume. Not Helpful 19 Helpful Diante Watts. Height is not included when measuring spheres, since usually they are congruent in all directions; it wouldn't be a necessity, because the radius is included.

Not Helpful 44 Helpful Divide the diameter by 2, giving you the radius and continue from there. Not Helpful 67 Helpful Not Helpful 47 Helpful Smile Happy. So the volume would be A cylinder's "curved" part is really just a rectangle with the one side as the circumference of the circular base of the cylinder.

The other side is the height of the cylinder. Not Helpful 16 Helpful Use the volume formula to solve for the radius, then double the radius. Not Helpful 32 Helpful Not Helpful 37 Helpful Between a sphere 32 mm diameter and a sphere 18 mm diameter, what is percentage difference?

If you're asking only about the diameters, divide 18 by That gives you a decimal number. Multiply it by to get what percentage 18 is of If you want to compare the two volumes, you'll have to cube each diameter and then perform the same division operation. Not Helpful 25 Helpful If one sphere is times larger in diameter than another, how many times larger is its volume? Not Helpful 30 Helpful Include your email address to get a message when this question is answered.

By using this service, some information may be shared with YouTube. Make sure your measurements are all in the same unit. If they aren't, you will need to convert them. Helpful 48 Not Helpful If you only need part of a sphere, like half or a quarter, find the full volume first, then multiply by the fraction you want to find. For instance, to find the volume of half a sphere with a volume 8, you would multiply 8 by one half or divide 8 by 2 to get 4.

Helpful 43 Not Helpful Helpful 4 Not Helpful 1. Submit a Tip All tip submissions are carefully reviewed before being published. Related wikiHows How to. How to. Co-authors: Updated: April 8, Categories: Volume. In other languages Italiano: Calcolare il Volume di una Sfera. Nederlands: Het volume van een bol berekenen. Bahasa Indonesia: Menghitung Volume Bola. Thanks to all authors for creating a page that has been read 2,, times. It's very helpful, simple, and malleable to your needs, in getting practice work or regular instructional work for classrooms done.

More reader stories Hide reader stories. Did this article help you? Cookies make wikiHow better. By continuing to use our site, you agree to our cookie policy. About This Article Co-authors: Diante Watts Sep 16, Brooke Romano Feb 14, I after reading this did a couple problems, and was able because I read this. John Ceris Smith Mar 1, Thanks for this and to those who answered my questions. Nat A. Apr 10, Norma Audina Dec 8, Share yours!

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