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Spherical cap volume calculation. The spherical cap, also called the spherical dome, is a portion of a sphere cut off by a plane. The formula behind its volume is: volume = ((π × h²) / 3) × (3r - h) or: volume = (1/6) × π × h × (3a² + h²) where the radius of the sphere is r, the height of the cap (the blue one) is h, and a is the ...
- Cylinder Volume Calculator
If you have the volume and radius of the cylinder:. Make...
- Cylinder Volume Calculator
Plug in the value in the formula V = 4/3 π r 3 and compute the volume of the spheres. Figure out the radius measure from the diameter and apply it to determine the volume of the spheres presented as 3D shapes and as word problems in these pdf worksheets for grade 8. The radius measure is expressed as a decimal.
The volume of a sphere is given by the formula: V = (4/3) * π * r³. Where: V is the volume of the sphere. π is a mathematical constant approximately equal to 3.14159. r is the radius of the sphere. The following diagram shows the formula for the volume of a sphere. Have a look at this video if you need to review how to find the volume of a ...
The task is for students to find the radius of the sphere using the diameter where necessary, and plug in the radius in the formula V = (4/3)πr 3, to calculate the required volume. This stack of pdf worksheets on finding the volume of a sphere is suitable for grade 8 and high school kids.
If you approximate the Earth as an ideal sphere (it is, in fact, a geoid) and you know the volume, you can calculate its radius. The numbers will be big, though! The volume V of Earth is: 1,083,206,916,846 km³. Apply the inverse formula for the volume of a sphere to find the radius: r = ³√[3 × V / (4 × π)] = 6371 km.
The amount of air needed to fill it up is the volume. The amount of rubber needed to create the ball is the surface area. The formula for the volume of a sphere is V = 4/3 π r³. The formula for the surface area of a sphere is SA = 4π r². In both equations, r is the radius of the sphere (the distance from the center of the sphere to a point ...
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Example 1: volume of a sphere given the radius. Calculate the volume of a sphere with radius 6 \; cm 6 cm. Write your answer to 1 1 decimal place. Write down the formula for the volume of a sphere. The formula for the volume of a sphere is V=\frac {4} {3} \pi r^3 V = 34πr3. 2 Substitute the given values into the formula.
