Math Blog Week 6 – Aiden's Blog

This week on math I learned about finding the surface area and volume of a sphere and a hemisphere.

The volume of a sphere is $\frac{4 \pi r^2}{3}$ .

The surface area of a sphere is $4 \pi r^2$ .

A hemisphere is just half of a sphere so the volume would be $\frac{4 \pi r^2}{3} \div 2$ which can be simplified as $\frac{6 \pi r^2}{3}$ .

The surface area of a hemisphere is a bit more complicated, because we halved a sphere we exposed a new face so we add the area of a circle as well so it would be $\frac{4 \pi r^2}{2} + \pi r^2$ which can be simplified to $2 \pi r^2 + \pi r^2$ which can be simplified even further to $3 \pi r^2$ .

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