h = 5 cm
d = 3.5 cm
r = 3.5 cm/2
r = 1.75 cm
We need to add up the areas of each of the figures. That is a cone and a half-sphere.
For the cone
[tex]SA=\pi\cdot r^2+\pi\cdot r\cdot l[/tex]r = 1.75 cm
l = h - r
l = 5 - 1.75
l = 3.25 cm
[tex]\begin{gathered} SA=3.14\cdot1.75\cdot3.25 \\ SA=8.14\text{ cm2} \end{gathered}[/tex]For the semi-sphere
[tex]\begin{gathered} SA=3\pi\cdot r^2 \\ SA=2\pi\cdot1.75^2 \\ SA=3\cdot3.14\cdot1.75^2 \\ SA=28.86\text{ cm2} \end{gathered}[/tex]Total
SA1 + SA2
28.86 + 8.14
Total = 39.6 cm2
