jmeyerscpp jmeyerscpp
  • 22-09-2022
  • Mathematics
contestada

The formula for the surface area, S, of a cone is shown below. solve the formula for the length l.

The formula for the surface area S of a cone is shown below solve the formula for the length l class=

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jimrgrant1 jimrgrant1
  • 22-09-2022

Answer:

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

Step-by-step explanation:

S = πr² + πrl ( subtract πr² from both sides )

S - πr² = πrl ( isolate l by dividing both sides by πr )

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

Answer Link
mathstudent55
mathstudent55 mathstudent55
  • 22-09-2022

Answer:

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

Step-by-step explanation:

[tex]S = \pi r^2+\pi rl[/tex]

[tex]\pi r^2+\pi rl = S[/tex]

[tex]\pi rl = S - \pi r^2[/tex]

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

Answer Link

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