Volume of a sphere
The formula to find the volume of a sphere you use the formula:
\(V = \frac{4}{3}\pi {r^3}\) where r is the radius.
Example
Calculate the volume of a sphere with radius 6cm.
\(V = \frac{4}{3}\pi {r^3}\)
\(= \frac{4}{3} \times \pi \times {6^3}\)
This can be done on a calculator by \(4 \div 3 \times \pi \times {6^3}\) , using the \(\pi\) or if you don’t have a scientific calculator, use 3.14)
\(= 904.7786...\)
\(= 904.78\,c{m^3}\,(to\,2\,d.p.)\)
Question
Calculate the volume of a sphere of radius 1.7 cm to one decimal place.
\(v=\frac{4}{3}\pi r^{3}\)
\(=\frac{4}{3}\times \pi \times 1.7^{3}\)
\(=20.58cm^{3}\)
More guides on this topic
- Determine the gradient of a straight line
- Circle geometry
- Applying Pythagoras Theorem
- Applying the properties of shapes to determine an angle
- Using similarity
- Working with two-dimensional vectors
- Working with three-dimensional coordinates
- Using vector components
- Calculating the magnitude of a vector
- An Approximate History of Co-ordinates