Respuesta :

FaiZae

Answer:

10 inches

Step-by-step explanation:

Surface Area = π R² + π R L [ L is Slant Height ]

200 π = π (10)² + π (10) L

200 π = π (100) + π (10) L

200 π - 100 π = 10 π L

100 π = 10 π L

100 π / 10 π = L

10 = L

L = 10 inches

Hope this Helps......

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Given terms :

  • Surface area (a) = 200 π

  • radius = 10 inches

Now, we know

[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]

  • [tex]200\pi = \pi \times 10 \times (10 + l)[/tex]

  • [tex] \dfrac{200\pi}{10\pi} = 10 + l[/tex]

  • [tex]20 = 10 + l[/tex]

  • [tex]l = 10 \: in[/tex]

(note : " l " represents slant height.)

Therefore, Measure of slant height (l) :

[tex] \huge \boxed{10 \: \: in \: }[/tex]

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