Question

Which best shows the volume of the candy container?Use π=22\7

Answer 1

We have the following:

To calculate the volume of the figure, we must divide the figure into two parts, a cylinder and a cone

The volume of the cylinder is as follows

`\begin{gathered} V_1=\pi\cdot r^2\cdot h \\ r=(d)/(2)=(7)/(2) \\ \text{replacing} \\ V_1=(22)/(7)\cdot\mleft((7)/(2)\mright)^2\cdot15 \\ V_1=577.5 \end{gathered}`

The volume of the cone is as follows

`\begin{gathered} V_2=(1)/(3)\cdot\pi\cdot r^2\cdot h \\ \text{replacing} \\ V_2=(1)/(3)\cdot(22)/(7)\cdot((7)/(2))^2\cdot6 \\ V_2=77 \end{gathered}`

The total volume is:

`\begin{gathered} V_T=V_1+V_2 \\ V_T=577.5+77 \\ V_T=654.5 \end{gathered}`

The answer is 654.5 cm^3