Question

Find the height of the cone. Use 3.14 for π and round your answer to the nearest yard.A. 75 yardsB. 15 yardsC. 9 yardsD. 3 yards

Answer 1

The rule of the volume of the cone is

`V=(1)/(3)\pi r^2h`

r is the radius of the base

h is the height

Since the given volume is 235.5 cube yards

Then V = 235.5

Since the radius of the base is 5 yards

Then r = 5

Use pi = 3.14

Substitute them in the rule above

`\begin{gathered} 235.5=(1)/(3)(3.14)(5^2)h \\ \\ 235.5=(157)/(6)h \end{gathered}`

Divide both sides by 157/6

`\begin{gathered} (235.5)/((157)/(6))=((157)/(6)h)/((157)/(6)) \\ \\ 9=h \end{gathered}`

The height of the cone is 9 yards

The answer is C