1 Answer

Mike Fay · Answer 1 · 2023-01-14T20:54:35+0000

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

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

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