The volume of a hemisphere measures the amount of space enclosed by its curved surface and base, calculated using the formula [katex] V=\\cfrac{2}{3} \\, \\pi{r^3}. [/katex] The curved surface area of a hemisphere refers only to the area of its curved surface, excluding the base. It is calculated using the formula [katex] A=2 \\, \\pi{r^2}. [/katex]