Question

The surface area of a cone is given by the formula
Solve the formula for for I.

Answer 1

The formula will be $\frac{S}{\pi}-r^2$ when solved for l.

Step-by-step explanation:

Surface area of cone is given by;

S = πl + πr²

Solving for l;

Taking pi as common;

$S=\pi (l+r^2)$

Dividing both sides by π

$\frac{S}{\pi}=\frac{\pi}{\pi}(l+r^2)\\\\\frac{S}{\pi}=l+r^2$

Subtracting r² from both sides

$\frac{S}{\pi}-r^2=l+r^2-r^2\\\\\frac{S}{\pi}-r^2=l\\\\l=\frac{S}{\pi}-r^2$

The formula will be $\frac{S}{\pi}-r^2$ when solved for l.

Keywords: surface area, subtraction

Learn more about subtraction at:

• brainly.com/question/9006189
• brainly.com/question/894273

#LearnwithBrainly