ANSWER:
20.93 cubic cm
STEP-BY-STEP EXPLANATION:
We can calculate the volume of the crayon by adding the volume of the cone and the volume of the cylinder.
First the volume of the cylinder would be:
[tex]\begin{gathered} V_1=\pi\cdot r^2\cdot h \\ \text{replacing:} \\ V_1=3.14\cdot1^2\cdot6 \\ V_1=18.84 \end{gathered}[/tex]Now, the volume of the cone:
[tex]\begin{gathered} V_2=\frac{1}{3}\cdot\pi\cdot r^2\cdot h \\ V_2=\frac{1}{3}\cdot3.14\cdot1^2\cdot2 \\ V_2=2.09 \end{gathered}[/tex]Now we add them and we have:
[tex]\begin{gathered} V_T=V_1+V_2 \\ V_T=18.84+2.09 \\ V_T=20.93 \end{gathered}[/tex]The volume of the crayon is 20.93 cubic cm