kiarrac
contestada

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.
A) l = S – r2
B) l = S + r2
C) l = 5/3.14 – r2
D) l = 5/3.14 + r2

all of the 2's are to the power of R
the 5/3.14's are fractions

Respuesta :

alekos
l = S/π - r^2 .......
.......
frika

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

1. Express the whole expression [tex]\pi\cdot l:[/tex]

[tex]\pi\cdot l=S-\pi\cdot r^2.[/tex]

2. Divide the previous expression by [tex]\pi:[/tex]

[tex]l=\dfrac{S-\pi r^2}{\pi}=\dfrac{S}{\pi}-r^2.[/tex]

3. Since [tex]\pi\approx 3.14,[/tex] then

[tex]l=\dfrac{S}{3.14}-r^2.[/tex]

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

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