Question

Find the volume of a cone with a height of 10cm and diameter of 6cm. Round to the nearest tenth. Use 3.14 for .

Answer 1

We can find the volume of a cone using the formula

`V=(\pi r^2h)/(3)`

Where

h = height

r = radius

Remember that

`d=2r\Rightarrow r=(d)/(2)`

Therefore, let's find out the radius first, the problem says that the diameter is 6cm, then

`r=(6)/(2)=3\text{ cm}`

The radius is 3cm and the height is 10cm, let's use it in our formula:

`\begin{gathered} V=(\pi\cdot(3)^2\cdot10)/(3) \\ \\ V=30\pi \end{gathered}`

The problem also say to use = 3.14, then the volume is

`\begin{gathered} V=30\cdot3.14 \\ V=94.2 \end{gathered}`

Therefore, the volume is

`V=94.2\text{ cm}^3`