Question

The lateral area of a cone is 612 pi cm2 The radius is 14. 2 cm. What is the slant height to the

nearest tenth of a centimeter?

A. 13. 7 cm

B. 35. 4 cm

C. 43. 1 cm

D. 86. 9 cm

Answer 1

`\textit{lateral area of a cone}\\\\ LA=\pi rs~~ \begin{cases} r=radius\\ h=height\\ s=slant~height\\[-0.5em] \hrulefill\\ LA=612\pi \\ r=14.2 \end{cases}\implies \begin{array}{llll} 612\pi =\pi (14.2)s\implies \cfrac{612\pi }{\pi (14.2)}=s \\\\\\ 43.1\approx = s \end{array}`