Question

The lateral area of a cone is 587 pi cm^2. The radius is 32 cm. Find the slant height to the nearest tenth.A) 5.8 cmB) 9.2 cmC) 13.7 cmD) 18.3 cm

Answer 1

ANSWER

$l=5.8cm$

EXPLANATION

Given;

$\begin{gathered} LSA=587\pi \\ r=32 \end{gathered}$

Recall the formula for lateral surface area of a cone is;

$LSA=\pi rl$

Substitute the values and solve;

$\begin{gathered} 587\pi=\pi\times32\times l \\ \frac{587\pi}{\pi}=\frac{32l\pi}{\pi} \\ 587=32l \\ l=\frac{587}{32\pi} \\ =5.8 \\ \cong5.8 \end{gathered}$