Question

Which of the following equations correctly represents the formula for finding the slant height (l) of a cone in terms of its surface area (S) and base radius (r)?

A) l=√S²-2

B) l=S+2

C) l=5√2

D) l=5+√2

Answer 1

The correct equation for finding the slant height (l) of a cone in terms of its surface area (S) and base radius (r) is l = √(S² + πr²).

Step-by-step explanation:

The correct equation for finding the slant height (l) of a cone in terms of its surface area (S) and base radius (r) is:

l = √(S² + πr²)

This equation takes into account the surface area and base radius of the cone. The slant height is found by taking the square root of the sum of the square of the surface area and the square of the base radius. It is important to note that the surface area is squared because it represents the total area of the curved surface of the cone.