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`

Step-by-step 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*32* l \\ (587\pi)/(\pi)=(32l\pi)/(\pi) \\ 587=32l \\ l=(587)/(32\pi) \\ =5.8 \\ \cong5.8 \end{gathered}`