The formula to calculate the volume of a cylinder is
[tex]V=\pi r^2h[/tex]
The formula to calculate the volume of a hemisphere is
[tex]V=\frac{2}{3}\pi r^3[/tex]
Hence, the volume of the composite shape can be calculated by using the formula
[tex]V=\pi r^2h+\frac{2}{3}\pi r^3[/tex]
From the question, we have the following parameters:
r = 12/2 = 6cm (radius is half of the diameter)
h = 26cm
Substituting, using pi as 22/7, we have
[tex]\begin{gathered} V=(\frac{22}{7}\times6^2\times26)+(\frac{2}{3}\times\frac{22}{7}\times6^3) \\ V=2940.53+452.39 \\ V=3392.9\operatorname{cm}^3 \end{gathered}[/tex]
The volume is given as 3392.9 cm³.
The correct option is the FIRST OPTION.
