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# FM Pyramid

## 1.2 Volume of Common Shapes

Note: volume is measured in units cubed (e.g. m^3, cm^3, mm^3, etc.).

### Volume of a Sphere

• The volume of a sphere is found using the formula:

V=\frac{4}{3} \pi r^{3}

Example

We wish to find the volume of the above sphere. We do this by first identifying the values we need, in this case we have a radius of 10mm. Now, we substitute this value into our formula to find the volume

V=\frac{4}{3} \pi r^{3}=\frac{4}{3} \pi 10^{3}=4188.79 \mathrm{~mm}^{3}

### Volume of a Cylinder

Read More »1.2 Volume of Common Shapes

## 1.1 Surface Area of Common Shapes

Note: remember that area is measured in units squared (m^2, cm^2, etc.).

### Surface Area of Spheres

• The surface area of a sphere is found using:

A=4 \pi r^{2}

Where r is the radius of the sphere.

Example

We wish to find the surface area of the above sphere. We do this by first identifying the values we need, in this case we have a radius of 10mm. Now, we substitute this value into our formula to find the surface area:

A=4 \pi r^{2}=4 \pi 10^{2}=1256.64 \mathrm{~mm}^{2}

### Surface Area of Cylinders

Read More »1.1 Surface Area of Common Shapes