Question

What is the height of this cone round to the nearest hundredth

Answer 1

h=12 ft

Explanation:

Given:

• The volume of the cone = 803.84 cubic feet

,

• The radius of the cone = 8 feet

,

• π=3.14

The volume of a cone is calculated using the formula:

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

Substitute the given values into the formula:

`\begin{gathered} 803.84=(1)/(3)*3.14*8^2* h \\ 803.84=(3.14*64* h)/(3) \\ \text{ Cross multiply} \\ 3.14*64* h=803.84*3 \\ 200.96h=2411.52 \\ \text{ Divide both sides by 200.96} \\ (200.96h)/(200.96)=(2,411.52)/(200.96) \\ h=12 \end{gathered}`

The height of the cone is 12 feet.