The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

Al = S – r2
Bl = S + r2
Cl = 5/3.14 – r2
Dl = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

Verified Answer :

alekos

l = S/π - r^2 .......
.......

frika

If the surface area of a cone is given by the formula \(S=\pi\cdot l+\pi\cdot r^2,\) then you have to express l in terms of S and r.

1. Express the whole expression \(\pi\cdot l:\)

\(\pi\cdot l=S-\pi\cdot r^2.\)

2. Divide the previous expression by \(\pi:\)

\(l=\dfrac{S-\pi r^2}{\pi}=\dfrac{S}{\pi}-r^2.\)

3. Since \(\pi\approx 3.14,\) then

\(l=\dfrac{S}{3.14}-r^2.\)

Answer: correct choice is C (here should be S not 5 as written)