Question

The surface area s of a right circular cone is given by s=πr2 πrl where r is the radius of the base and l is the slant height. solve this formula for l .

Answer 1

To solve for l in the formula s = πr² + πrl, subtract πr² from both sides and then divide by πr.

Step-by-step explanation:

Formula:

s = πr² + πrl

Solving for l:

Start with the formula: s = πr² + πrl

Subtract πr² from both sides to isolate the term with l: s - πr² = πrl

Divide both sides by πr to solve for l: l = (s - πr²) / (πr)

Example:

Let's say the surface area (s) is 25 square units and the radius (r) is 5 units. Plugging these values into the formula: l = (25 - π(5)²) / (π(5)) = (25 - 25π) / 5π. We can simplify this to get the numerical value of l.