Question

6. A cone has a base area of 36 cm². A parallel slice5 cm from the vertex has an area of 25 cm?. Findthe height of the cone.

Answer 1

The given situation is modeled by the following formula

`A_{\text{vertex}}=r^2\cdot A_(base)`

Where r = 5/h, then

`\begin{gathered} 25=((5)/(h))^2\cdot36 \\ 25=(25)/(h^2)\cdot36 \\ h^2=(25)/(25)\cdot36 \\ h=\sqrt[]{36} \\ h=6 \end{gathered}`

Hence, the height of the cone is 6 centimeters.