A sphere is a revolution of a semi circle about the x axis.
The formula for this type of volume is the integral of pi*f2(x)*dx. so if a circle can be described by the formula x2+y2=r2 where r is the radius. so then
f(x)=sqrt(r2-x2) so then we square f2(x).... =r2-x2 then we multiply by pi so we have pi*r2 - pi*x2 next we integrate this so have pi*r2x evaluted at r and -r and we also have -(1/3)*pi*x3 evaluted at r and -r once we evalute this we have (4/3)*pi*r3
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The formula for a rectangular solid is to multiply the measurements of Length(L), Width(W) and Height(H). Ex: L x W x H = Volume
Eureka!There really isn't a "formula" for discovering the volume of an irregularly shaped solid. Instead, submerge the irregular solid in water and measure the volume of water it displaces to discover its volume. The ExperimentFor finding the volume of an irregular solid we just fully dip (submerge) it in a water tank which is fully filled with water and is attached to an another tank (a cylindrical overflow tank) through a pipe. With the setup in place, we put the solid into the full tank. The solid will displace water, which will flow through the pipe into the overflow tank. Further, the volume of the water the solid displaces will be equal to the volume of that irregular solid. Now we calculate the volume of water in the overflow tank using the depth of that water and the diameter of the tank. The volume of the displaced water will equal the volume of the irregularly shaped solid.There will generally not be a formula and the volume will have to be measured in some other way.
If you have a ruler then you could measure the length width and height and then multiply them together. (LWH is the formula)
formula of find the volume of dish
what is the surface area and volume of each solid below