Question

the lateral area of a cone is 612 pi cm^2. the radius is 14.2cm. What is the slant height to the nearest tenth of a centimeter?A.13.7B.35.4C.43.1D.86.9

Answer 1

Formula of the lateral area of a cone:

`LA=\pi *r*s`

s is the slant height

r is the radius

Solve s in the formula above:

`s=(LA)/(\pi *r)`

Use the given data to find the slant height:

`\begin{gathered} s=(612\pi cm^2)/(\pi *14.2cm) \\ \\ s=(612cm^2)/(14.2cm) \\ \\ s=43.1cm \end{gathered}`Then, the slant height of the given cone is 43.1 centimetersAnswer: C