Question

Find the missing measure for a right circular cone given the following information.Find h if r = 5 and V = 100 pi .

Answer 1

The formula for the volume of a cone is

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

Then, we substitute r and V

`100\pi=(\pi*(5)^2* h)/(3)`

Solve 5^2

`100\pi=(\pi*25* h)/(3)`

Multiply by 3 on both sides

`\begin{gathered} 3*100\pi=3*(25\pi* h)/(3) \\ 300\pi=25\pi* h \end{gathered}`

Divide by 25pi on both sides

`\begin{gathered} (300\pi)/(25\pi)=(25\pi h)/(25\pi) \\ h=12 \end{gathered}`

Answer: h = 12