Question

A model of a crayon is shown. The base is a cylinder with a radius of 1 cm and a height of 6 cm. The tip is a cone with a radius of 1 cm and a height of 2 cm. What is the total volume of the crayon? 6 CN Do not enter any spaces. Round to the nearest hundredths. Use 3.14 for 7.

Answer 1

20.93 cubic cm

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:

`\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}`

Now, the volume of the cone:

`\begin{gathered} V_2=(1)/(3)\cdot\pi\cdot r^2\cdot h \\ V_2=(1)/(3)\cdot3.14\cdot1^2\cdot2 \\ V_2=2.09 \end{gathered}`

Now we add them and we have:

`\begin{gathered} V_T=V_1+V_2 \\ V_T=18.84+2.09 \\ V_T=20.93 \end{gathered}`

The volume of the crayon is 20.93 cubic cm